my homework lesson 4 equivalent fractions page 509 answer key

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My Math 4 Volume 2 Common Core, Grade: 4 Publisher: McGraw-Hill

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Curriculum  /  Math  /  4th Grade  /  Unit 4: Fraction Equivalence and Ordering  /  Lesson 4

Fraction Equivalence and Ordering

Lesson 4 of 15

Criteria for Success

Tips for teachers, anchor tasks.

Problem Set

Target Task

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Lesson Notes

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Determine whether a given number is prime or composite.

Common Core Standards

Core standards.

The core standards covered in this lesson

Operations and Algebraic Thinking

4.OA.B.4 — Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.

The essential concepts students need to demonstrate or understand to achieve the lesson objective

• Understand that a prime number is a whole number that has exactly two factors, 1 and itself.
• Understand that a composite number is a whole number that can be written as a product of two whole numbers, neither of which is itself. 
• Determine whether a given number is prime or composite. 
• Understand 0 and 1 as special cases that are neither prime nor composite.

Suggestions for teachers to help them teach this lesson

Lesson Materials

• Random number generator (1 per student) — These are needed for the Problem Set. Students can use any 1 of these materials: a ten-sided die, a spinner of digits 0-9, Digit Cards for 0-9, or an online random number generator

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

25-30 minutes

Ms. Cole also wants to set up the desks in her room in rows and columns. There are 23 desks in her classroom. What are the different ways she could make rows and columns with 23 desks? Draw arrays to represent the possible arrangements.

Guiding Questions

Student response.

Upgrade to Fishtank Plus to view Sample Response.

A composite number is a whole number that can be written as a product of two whole numbers, neither of which is itself.

Is 28, the number of students in Mr. Duffy’s class from Lesson 3, a prime or composite number? How do you know? 

Grade 4 Mathematics > Module 3 > Topic F > Lesson 22 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds . © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US  license. Accessed Dec. 2, 2016, 5:15 p.m..

Determine whether each of the following numbers are prime or composite.

a.   74

b.   61

c.   49

d.   30

e.   2

f.   1

In North America, we have a kind of cicada that only emerges from the ground every 17 years at the very end of its life cycle.

a.   If a cicada's predator has a life cycle of 1 year, how many generations of that predator would it take before it could prey on cicadas?

b.   If a predator’s life cycle was 2 years, how many generations would it take before it could prey on cicadas?

c.   What if the predator's life cycle was 3 years?

d.   5 years?

e.   Based on your answers to Parts (a)-(d), what kind of advantage does its 17-year life cycle give a cicada in the wild? 

Cicada Swarmaggedon by Brian Marks and Lesie Lewis is made available on  YummyMath . Copyright © 2017 Yummy Math. All Rights Reserved. Accessed Jan. 8, 2018, 1:37 p.m..

15-20 minutes

• Problem Set Answer Key

Discussion of Problem Set

• Which numbers appeared most frequently in #4? What numbers did not appear at all?
• Look at #5. What number did you use to prove that Bryan’s claim is false? Are there other numbers that would have worked? 
• Do even or odd numbers have more prime numbers? Why?
• Were each of the statements in #6 always, sometimes, or never true? 

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

5-10 minutes

Determine whether the following numbers are prime or composite. Explain your reasoning.

a.   17

b.   46

c.   91

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

• Extra Practice Problems Answer Key

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Topic A: Factors and Multiples

Identify multiples and determine if a whole number is a multiple of another number.

Explore patterns in multiples of various whole numbers.

Find factor pairs for numbers to 100 and recognize that a whole number is a multiple of each of its factors.

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Topic B: Equivalent Fractions

Recognize and generate equivalent fractions with smaller units using tape diagrams.

Recognize and generate equivalent fractions with smaller units using number lines.

Recognize and generate equivalent fractions with smaller units using area models.

Recognize and generate equivalent fractions with smaller units using multiples.

Recognize and generate equivalent fractions with larger units using visual models.

Recognize and generate equivalent fractions with larger units using factors.

Topic C: Comparing and Ordering Fractions

Compare two fractions where one numerator or denominator is a factor of the other by replacing one fraction with an equivalent one.

Compare two fractions by replacing both fractions with equivalent ones.

Compare two fractions using one whole as a benchmark.

Compare two fractions using one half as a benchmark.

Compare and order fractions using various strategies.

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Reveal Math Practice - 4th Grade Unit 8 - Fraction Equivalence Worksheets

Also included in

Description

What's Included

Included in this pack are 5 worksheets on all the lessons in the Reveal Math book for Unit 8 - Fraction Equivalence

Each worksheet matches the first page of the "On Your Own" sections of the lessons in the book.

These can be used as a quiz, formative assessment, homework, or just extra practice!

Answer keys are included for each worksheet.

Lesson 8-1: Equivalent Fractions

Lesson 8-2: Generate Equivalent Fractions Using Models

Lesson 8-3: Generate Equivalent Fractions Using Number Lines

Lesson 8-4: Compare Fractions Using Benchmarks

Lesson 8-5: Other Ways to Compare Fractions

Sample 8.1 with this freebie

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Go Math Grade 3 Chapter 9 Answer Key Pdf Compare Fractions

Go Math Grade 3 Chapter 9 Answer Key Pdf: In order to solve real-world mathematical problems, students must understand how the information is related, and analyze the relationships and draw conclusions. This will be possible only when you start from the basics. Download Free Pdf of Go Math Grade 3 Answer Key Chapter 9 Compare Fractions to practice the exercise and homework problems. Write the Mid Chapter Checkpoint test to know how much you learned previously from this chapter.

Compare Fractions Go Math Grade 3 Chapter 9 Answer Key Pdf

The topics included in this chapter are Compare fractions with the same Numerator and Denominators, Equivalent Fractions, Compare and order fractions, and so on. Most of the students feel that fractions are difficult. Don’t worry we have provided the easy way to understand the concept of fractions. The HMH Go Math Grade 3 Answer Key Chapter 9 Compare Fractions helps your child to score the highest marks in the marks. So, practice the problems given in the 3rd Grade Go Math Solution Key Chapter 9 and try to solve the questions provided at the end of the chapter.

Lesson 1: Compare Fractions 

Compare Fractions – Page No. 509

• Compare Fractions Lesson Check – Page No. 510

Lesson 2: Problem Solving • Compare Fractions 

Problem Solving Compare Fractions – Page No. 511

• Problem Solving Compare Fractions Lesson Check – Page No. 512

Lesson 3: Compare Fractions with the Same Denominator 

Compare Fractions with the Same Denominator – Page No. 517

• Compare Fractions with the Same Denominator Lesson Check – Page No. 518

Lesson 4: Compare Fractions with the Same Numerator 

Compare Fractions with the Same Numerator – Page No. 523

• Compare Fractions with the Same Numerator Lesson Check – Page No. 524

Lesson 5: Compare Fractions 

Compare Fractions – Page No. 529

• Compare Fractions Lesson Check – Page No. 530

Mid -Chapter Checkpoint

Mid -Chapter Checkpoint – Page No. 531

• Mid -Chapter Checkpoint Lesson Check – Page No. 532

Lesson 6: Compare and Order Fractions

Compare and Order Fractions – Page No. 537

• Compare and Order Fractions Lesson Check – Page No. 538

Lesson 7: Model Equivalent Fractions 

Model Equivalent Fractions – Page No. 543

• Model Equivalent Fractions Lesson Check – Page No. 544

Lesson 9.7 – Page No. 548

Lesson 9: Equivalent Fractions 

Equivalent Fractions – Page No. 549

• Equivalent Fractions Lesson Check – Page No. 550

Review/ Test

Review/Test – Page No. 551

Review/test – page no. 552, review/test – page no. 553, review/test – page no. 554, review/test – page no. 555, review/test – page no. 556.

Share and Show

Question 1. At the park, people can climb a rope ladder to its top. Rosa climbed \(\frac{2}{8}\) of the way up the ladder. Justin climbed \(\frac{2}{6}\) of the way up the ladder. Who climbed higher on the rope ladder? First, what are you asked to find? Type below: ____________

Answer: Justin climbed higher on the rope ladder.

Explanation:

Given, Rosa climbed \(\frac{2}{8}\) of the way up the ladder Justin climbed \(\frac{2}{6}\) of the way up the ladder We are asked to find who climbed higher on the rope ladder By comparing the denominators we can say that Justin Climbed higher than Rosa on the rope ladder.

Go Math Grade 3 Chapter 9 Answer Key Pdf Question 2. Then, model and compare the fractions. Type below: ____________

Question 3. Last, find the greater fraction. \(\frac{2}{6}\) _____ \(\frac{2}{8}\)

Answer: \(\frac{2}{6}\) > \(\frac{2}{8}\)

When comparing fractions such as \(\frac{2}{8}\) and \(\frac{2}{6}\), you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

Question 4. ___________ climbed higher on the rope ladder

Question 5. What if Cara also tried the rope ladder and climbed \(\frac{2}{4}\) of the way up? Who climbed the highest on the rope ladder: Rosa, Justin, or Cara? Explain how you know. ___________

Answer: If Cara also tried the rope ladder and climbed \(\frac{2}{4}\) of the way up then Cara would have climbed highest on the rope ladder. Because comparing fractions \(\frac{2}{4}\), \(\frac{2}{6}\), \(\frac{2}{8}\) Cara climbed high among the three. The fraction \(\frac{2}{4}\) is the greater than other 2 fractions. So by seeing this, we can say that Cara climbed highest on the rope ladder.

Compare Fractions – Page No. 510

Question 1. Suri is spreading jam on 8 biscuits for breakfast. The table shows the fraction of biscuits spread with each jam flavor. Which flavor did Suri use on the most biscuits? ___________

Answer: Raspberry

The above table shows the fraction of jam frosted on the biscuits. First, check the denominators to compare the fractions. The denominators are the same. So, Compare with the numerators. The numerator of Raspberry is larger than other two flavors. So, Suri used Raspberry flavor on the most biscuits.

Question 2. What’s the Question? The answer is strawberry Type below: ___________

Suri is spreading jam on 8 biscuits for breakfast. The table shows the fraction of biscuits spread with each jam flavor. She frosted \(\frac{3}{8}\) of the biscuits with peach jam, \(\frac{4}{8}\) with raspberry jam, and \(\frac{1}{8}\) with strawberry jam. Which flavor of jam did Suri use least on the biscuits?

Question 3. Suppose Suri had also used plum jam on the biscuits. She frosted \(\frac{1}{2}\) of the biscuits with peach jam, \(\frac{1}{4}\) with raspberry jam, \(\frac{1}{8}\) with strawberry jam, and \(\frac{1}{8}\) with plum jam. Which flavor of jam did Suri use on the most biscuits? ___________

Answer: Peach

The fraction of peach jam is greater than raspberry jam, strawberry jam, and plum jam. So, the answer is the peach jam.

Question 4. Ms. Gordon has many snack bar recipes. One recipe uses \(\frac{1}{3}\) cup oatmeal, \(\frac{1}{4}\) vcup of milk, and \(\frac{1}{2}\) cup flour. Which ingredient will Ms. Gordon use the most of? ___________

Answer: flour

\(\frac{1}{2}\) > \(\frac{1}{3}\) and \(\frac{1}{4}\) So, by comparing fractions we can say that Ms. Gordon uses the most flour for snack bar recipes.

Answer: \(\frac{4}{6}\) > \(\frac{3}{6}\)

First of all, compare the denominators. If the denominators are the same then check the numerators. Here 4 is greater than 3. So, \(\frac{4}{6}\) > \(\frac{3}{6}\)

Question 1. Luis skates \(\frac{2}{3}\) mile from his home to school. Isabella skates \(\frac{2}{4}\) mile to get to school. Who skates farther? Think: Use fraction strips to act it out. Luis

Answer: Luis

Given, Luis skates \(\frac{2}{3}\) mile from his home to school. Isabella skates \(\frac{2}{4}\) mile to get to school. To find Who stakes farther we have to compare the fractions. \(\frac{2}{3}\), \(\frac{2}{4}\) The numerator of both fractions is the same and the denominators are different. So, first, make the denominators equal. \(\frac{2}{3}\) × \(\frac{4}{4}\) = \(\frac{8}{12}\) \(\frac{2}{4}\) × \(\frac{3}{3}\) = \(\frac{6}{12}\) Now denominators are the same. Compare fractions \(\frac{8}{12}\) and \(\frac{6}{12}\) 8 is greater than 6. So, \(\frac{8}{12}\) > \(\frac{6}{12}\) Therefore Luis Skates farther to school.

3rd Grade Math Review Pdf Topic 9 Lesson 9.2 Answer Key Question 2. Sandra makes a pizza. She puts mushrooms on \(\frac{2}{8}\) of the pizza. She adds green peppers to \(\frac{5}{8}\) of the pizza. Which topping covers more of the pizza? ___________

Answer: Green Peppers

Sandra makes a pizza. She puts mushrooms on \(\frac{2}{8}\) of the pizza. She adds green peppers to \(\frac{5}{8}\) of the pizza. Compare the fractions of mushrooms and green peppers. \(\frac{2}{8}\), \(\frac{5}{8}\) The denominators are the same. So compare the numerators. 2 is lesser than 5. Thus \(\frac{2}{8}\) < \(\frac{5}{8}\) Thus Green Peppers covers more of the pizza.

Question 3. The jars of paint in the art room have different amounts of paint. The green paint jar is \(\frac{4}{8}\) full. The purple paint jar is \(\frac{4}{6}\) full. Which paint jar is less full? The _______ paint jar

Answer: The green paint jar

The jars of paint in the art room have different amounts of paint. The green paint jar is \(\frac{4}{8}\) full. The purple paint jar is \(\frac{4}{6}\) full. The numerators of both the fractions are the same. Compare the denominators of green paint and purple paint jars. The denominator with the greatest number will be the smallest fraction. Therefore \(\frac{4}{8}\) < \(\frac{4}{6}\) Thus green paint jar is less full.

Question 4. Jan has a recipe for bread. She uses \(\frac{2}{3}\) cup of flour and \(\frac{1}{3}\) cup of chopped onion. Which ingredient does she use more of, flour or onion? _______

Answer: Flour

Jan has a recipe for bread. She uses \(\frac{2}{3}\) cup of flour and \(\frac{1}{3}\) cup of chopped onion. Compare the fraction of flour and onion. The denominators of both the fractions are the same. So, compare the numerators. 2 is greater than 1. Thus \(\frac{2}{3}\) > \(\frac{1}{3}\) That means Jan used more flour for bread.

Question 5. Edward walked \(\frac{3}{4}\) mile from his home to the park. Then he walked \(\frac{2}{4}\) mile from the park to the library. Which distance is shorter? _______

Answer: \(\frac{2}{4}\) mile

Edward walked \(\frac{3}{4}\) mile from his home to the park. Then he walked \(\frac{2}{4}\) mile from the park to the library. To find the shorter distance we have to compare the fractions of Edward from home to park and from park to library. \(\frac{3}{4}\), \(\frac{2}{4}\) The denominators of both the fractions are the same. So compare the numerators. 3 is greater than 2. Thus \(\frac{3}{4}\) > \(\frac{2}{4}\) Thus the distance from the park to the library is shorter.

Problem Solving Compare Fractions – Page No. 512

Lesson Check

Question 1. Ali and Jonah collect seashells in identical buckets. When they are finished, Ali’s bucket is \(\frac{2}{6}\) full and Jonah’s bucket is \(\frac{3}{6}\) full. Which of the following correctly compares the fractions? Options: a. \(\frac{2}{6}\) = \(\frac{3}{6}\) b. \(\frac{2}{6}\) > \(\frac{3}{6}\) c. \(\frac{3}{6}\) < \(\frac{2}{6}\) d. \(\frac{3}{6}\) > \(\frac{2}{6}\)

Answer: \(\frac{3}{6}\) > \(\frac{2}{6}\)

Given that, Ali and Jonah collect seashells in identical buckets. When they are finished, Ali’s bucket is \(\frac{2}{6}\) full and Jonah’s bucket is \(\frac{3}{6}\) full Compare fractions \(\frac{2}{6}\) and \(\frac{3}{6}\) We observe that the denominators are the same. So, compare the numerators of both the fractions. 3 is greater than 2. Thus \(\frac{3}{6}\) > \(\frac{2}{6}\) So, the correct answer is option D.

Question 2. Rosa paints a wall in her bedroom. She puts green paint on \(\frac{5}{8}\) of the wall and blue paint on \(\frac{3}{8}\) of the wall. Which of the following correctly compares the fractions? Options: a. \(\frac{5}{8}\) > \(\frac{3}{8}\) b. \(\frac{5}{8}\) < \(\frac{3}{8}\) c. \(\frac{3}{8}\) > \(\frac{5}{8}\) d. \(\frac{3}{8}\) = \(\frac{5}{8}\)

Answer: \(\frac{5}{8}\) > \(\frac{3}{8}\)

Given: Rosa paints a wall in her bedroom. She puts green paint on \(\frac{5}{8}\) of the wall and blue paint on \(\frac{3}{8}\) of the wall. The denominators are the same so compare the numerators of both the fractions. 5 is greater than 3. So, \(\frac{5}{8}\) > \(\frac{3}{8}\) Thus the correct answer is option A.

Spiral Review

Question 3. Dan divides a pie into eightths. How many equal parts are there? Options: a. 3 b. 6 c. 8 d. 10

Dan divides a pie into eightths. Eighths are nothing but the names of the parts. Eighths is equal to 8. So, the correct answer is option C.

Among all the figures circle is equally divided into 6 parts. So, the answer is option B.

Go Math Lesson 9.2 Grade 3 Question 5. Charles places 30 pictures on his bulletin board in 6 equal rows. How many pictures are in each row? Options: a. 3 b. 4 c. 5 d. 6

Given, Charles places 30 pictures on his bulletin board in 6 equal rows. Number of pictures in each row = x x × 6 = 30 x = 30/6 = 5 Therefore there are 5 pictures in each row.

Answer: Multiply by 5

The above table shows that number of tables is multiplied by 5. So, the correct answer is option D.

Compare. Write <, >, or =.

Answer: \(\frac{3}{4}\) > \(\frac{1}{4}\)

Check whether the denominators of the two fractions are the same. Here the denominators of \(\frac{3}{4}\) and \(\frac{1}{4}\) are same. So compare the numerators. 3 is greater than 1. Therefore, \(\frac{3}{4}\) > \(\frac{1}{4}\)

Question 2. \(\frac{3}{6}\) ______ \(\frac{0}{6}\)

Answer: \(\frac{3}{6}\) > \(\frac{0}{6}\)

First, check whether the denominators of the two fractions are the same or not. After that compare the numerators. 3 > 0 So, \(\frac{3}{6}\) > \(\frac{0}{6}\)

Question 3. \(\frac{1}{2}\) ______ \(\frac{1}{2}\)

Answer: \(\frac{1}{2}\) = \(\frac{1}{2}\)

First, compare fractions with the same denominators. If both are the same, then compare the numerators of both fractions. The denominators and numerators are same for \(\frac{1}{2}\) Thus \(\frac{1}{2}\) = \(\frac{1}{2}\)

Question 4. \(\frac{5}{6}\) ______ \(\frac{6}{6}\)

Answer: \(\frac{5}{6}\) < \(\frac{6}{6}\)

Compare the denominators of the fractions The denominators of \(\frac{5}{6}\) and \(\frac{6}{6}\) Now compare the numerators of the fractions. 5 < 6 So, \(\frac{5}{6}\) < \(\frac{6}{6}\)

Chapter 9 Review Test 3rd Grade Answer Key Question 5. \(\frac{7}{8}\) ______ \(\frac{5}{8}\)

Answer: \(\frac{7}{8}\) > \(\frac{5}{8}\)

Check whether the denominators are the same or not. The denominator of \(\frac{7}{8}\) and \(\frac{5}{8}\) are same. Now check the numerators 7 > 5. Thus \(\frac{7}{8}\) > \(\frac{5}{8}\)

Question 6. \(\frac{2}{3}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{2}{3}\) = \(\frac{2}{3}\)

Compare the denominators of 2 fractions. Here numerators and denominators are the same. So, \(\frac{2}{3}\) = \(\frac{2}{3}\)

Question 7. \(\frac{8}{8}\) ______ \(\frac{0}{8}\)

Answer: \(\frac{8}{8}\) > \(\frac{0}{8}\)

Check whether the denominators are the same. Now compare the numerators of two fractions. 8 > 0. So, \(\frac{8}{8}\) > \(\frac{0}{8}\)

Question 8. \(\frac{1}{6}\) ______ \(\frac{1}{6}\)

Answer: \(\frac{1}{6}\) = \(\frac{1}{6}\)

When the denominators are the same, the whole is divided into the same size pieces. Now compare the numerators of both the fractions. \(\frac{1}{6}\) = \(\frac{1}{6}\)

Question 9. \(\frac{3}{4}\) ______ \(\frac{2}{4}\)

Answer: \(\frac{3}{4}\) > \(\frac{2}{4}\)

Check whether the denominators are the same. If same that means the whole is divided into the same size pieces. The denominators of \(\frac{3}{4}\) and \(\frac{2}{4}\) Now compare the numerators of both fractions. 3 is greater than 2. Thus \(\frac{3}{4}\) > \(\frac{2}{4}\)

Question 10. \(\frac{1}{6}\) ______ \(\frac{2}{6}\)

Answer: \(\frac{1}{6}\) < \(\frac{2}{6}\)

Check whether the denominators are the same. If same that means the whole is divided into the same size pieces. The denominators of \(\frac{1}{6}\) and \(\frac{2}{6}\) Now check the numerator 1 is less than 2. Therefore, \(\frac{1}{6}\) < \(\frac{2}{6}\)

Question 11. \(\frac{1}{2}\) ______ \(\frac{0}{2}\)

Answer: \(\frac{1}{2}\) > \(\frac{0}{2}\)

When the denominators are the same, the whole is divided into the same pieces. Now check the numerators. 1 is greater than 0 Thus \(\frac{1}{2}\) > \(\frac{0}{2}\)

Question 12. \(\frac{3}{8}\) ______ \(\frac{3}{8}\)

Answer: \(\frac{3}{8}\) = \(\frac{3}{8}\)

Check the denominators of two fractions. If both are equal then compare the numerators. The numerators of both fractions are equal. So, \(\frac{3}{8}\) = \(\frac{3}{8}\)

Question 13. \(\frac{1}{4}\) ______ \(\frac{4}{4}\)

Answer: \(\frac{1}{4}\) < \(\frac{4}{4}\)

Compare fractions with the same denominators. The denominators of \(\frac{1}{4}\) and \(\frac{4}{4}\) are same. Compare numerators 1 and 4. 1 is less than 4. Thus \(\frac{1}{4}\) < \(\frac{4}{4}\)

Question 14. \(\frac{5}{8}\) ______ \(\frac{4}{8}\)

Answer: \(\frac{5}{8}\) > \(\frac{4}{8}\)

Check whether the denominators are the same or not. Now compare the numerators. 5 is greater than 4. \(\frac{5}{8}\) > \(\frac{4}{8}\)

Question 15. \(\frac{4}{6}\) ______ \(\frac{6}{6}\)

Answer: \(\frac{4}{6}\) < \(\frac{6}{6}\)

Check whether the denominators of both the fractions are the same or not. The denominators of \(\frac{4}{6}\) and \(\frac{6}{6}\) are the same. Now compare the numerators 4 and 6. 4 is less than 6. So, \(\frac{4}{6}\) < \(\frac{6}{6}\)

Problem Solving

Question 16. Ben mowed \(\frac{5}{6}\) of his lawn in one hour. John mowed \(\frac{4}{6}\) of his lawn in one hour. Who mowed less of his lawn in one hour? ___________

Answer: John

Given, Ben mowed \(\frac{5}{6}\) of his lawn in one hour. John mowed \(\frac{4}{6}\) of his lawn in one hour. Compare the denominators of both the fractions. As the denominators are the same compare the numerators of the fractions. 4 is less than 5. \(\frac{4}{6}\) < \(\frac{5}{6}\) So, John mowed less of his lawn in one hour.

Chapter 9 Go Math Grade 3 Question 17. Darcy baked 8 muffins. She put blueberries in \(\frac{5}{8}\) of the muffins. She put raspberries in \(\frac{3}{8}\) of the muffins. Did more muffins have blueberries or raspberries? ___________

Answer: Blueberries

Given, Darcy baked 8 muffins. She put blueberries in \(\frac{5}{8}\) of the muffins. She put raspberries in \(\frac{3}{8}\) of the muffins. \(\frac{5}{8}\) is greater than \(\frac{3}{8}\) Thus there are more blueberries in muffins.

Compare Fractions with the Same Denominator – Page No. 518

Question 1. Julia paints \(\frac{2}{6}\) of a wall in her room white. She paints more of the wall green. Which fraction could show the part of the wall that is green? Options: a. \(\frac{1}{6}\) b. \(\frac{2}{6}\) c. \(\frac{3}{6}\) d. \(\frac{0}{6}\)

Answer: \(\frac{3}{6}\)

First compare the denominators of given options and then compare the numerators A. \(\frac{3}{6}\) < \(\frac{2}{6}\) B. \(\frac{2}{6}\) = \(\frac{2}{6}\) C. \(\frac{3}{6}\) > \(\frac{2}{6}\) D. \(\frac{0}{6}\) < \(\frac{2}{6}\) So, the answer is option C.

Question 2. Liam is comparing fraction circles. Which of the following statements is true? Options: a. \(\frac{1}{2}\) = \(\frac{1}{2}\) b. \(\frac{3}{4}\) > \(\frac{4}{4}\) c. \(\frac{4}{6}\) < \(\frac{3}{6}\) d. \(\frac{2}{8}\) = \(\frac{3}{8}\)

Check whether the denominators are same. If both are same then compare the numerators. \(\frac{1}{2}\) = \(\frac{1}{2}\) Option A is the correct answer.

Question 3. Mr. Edwards buys 2 new knobs for each of his kitchen cabinets. The kitchen has 9 cabinets. How many knobs does he buy? Options: a. 20 b. 18 c. 16 d. 12

Given, Mr. Edwards buys 2 new knobs for each of his kitchen cabinets. The kitchen has 9 cabinets. Number of knobs he buys = x x = 9 × 2 = 18 Thus the correct answer is option B.

Question 4. Allie builds a new bookcase with 8 shelves. She can put 30 books on each shelf. How many books can the bookcase hold? Options: a. 30 b. 38 c. 240 d. 300

Answer: 240

Given that Allie builds a new bookcase with 8 shelves. She can put 30 books on each shelf. Let the number of books can the bookcase hold = y y = 30 × 8 y = 240 Thus the correct answer is option C.

Question 5. The Good Morning Café has 28 customers for breakfast. There are 4 people sitting at each table. How many tables are filled? Options: a. 8 b. 7 c. 6 d. 4

The Good Morning Café has 28 customers for breakfast. There are 4 people sitting at each table. Number of tables be t t ×4 = 28 t = 28/4 = 4 Thus the number of tables filled = 7

Question 6. Ella wants to use the Commutative Property of Multiplication to help find the product 5 × 4. Which number sentence can she use? Options: a. 5 + 4 = 10 b. 5 × 5 = 25 c. 5 − 4 = 1 d. 4 × 5 = 20

Answer: 4 × 5 = 20

According to the commutative property of multiplication, changing the order of the numbers we are multiplying, does not change the product. a × b = b × a 5 × 4 = 4 × 5 = 20 So, the correct answer is option D.

Question 2. \(\frac{3}{8}\) ______ \(\frac{3}{6}\)

Answer: \(\frac{3}{8}\) < \(\frac{3}{6}\)

When comparing fractions with the same numerator, the fraction with the smaller denominator is greater. So, \(\frac{3}{8}\) < \(\frac{3}{6}\)

Question 3. \(\frac{2}{3}\) ______ \(\frac{2}{4}\)

Answer: \(\frac{2}{3}\) > \(\frac{2}{4}\)

Compare the fractions \(\frac{2}{3}\) and \(\frac{2}{4}\) The numerators of both the fractions are the same. So compare the denominators. The fraction with the smaller denominator is greater So, \(\frac{2}{3}\) > \(\frac{2}{4}\)

Question 4. \(\frac{2}{8}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{2}{8}\) < \(\frac{2}{3}\)

Compare \(\frac{2}{8}\) and \(\frac{2}{3}\) When comparing fractions with the same numerator, the fraction with the smaller denominator is greater. \(\frac{2}{8}\) < \(\frac{2}{3}\)

Question 5. \(\frac{3}{6}\) ______ \(\frac{3}{4}\)

Answer: \(\frac{3}{6}\) < \(\frac{3}{4}\)

Compare the fractions \(\frac{3}{6}\) and \(\frac{3}{4}\) The numerators are the same and the denominators are different. The number with the smallest number will be the greatest. So, \(\frac{3}{6}\) < \(\frac{3}{4}\)

Question 6. \(\frac{1}{2}\) ______ \(\frac{1}{6}\)

Answer: \(\frac{1}{2}\) > \(\frac{1}{6}\)

When comparing fractions with the same numerator, the fraction with the smaller denominator is greater. 2 is greater than 6. \(\frac{1}{2}\) > \(\frac{1}{6}\)

Go Math Grade 3 Chapter 9 Pdf Lesson 9.4 Compare Fractions Question 7. \(\frac{5}{6}\) ______ \(\frac{5}{8}\)

Answer: \(\frac{5}{6}\) > \(\frac{5}{8}\)

We observe that numerators are the same and the denominators are different. The fraction with the smallest number will be the greatest. So, \(\frac{5}{6}\) > \(\frac{5}{8}\)

Question 8. \(\frac{4}{8}\) ______ \(\frac{4}{8}\)

Answer: \(\frac{4}{8}\) = \(\frac{4}{8}\)

The numerators and denominators of both the fractions are the same. So, \(\frac{4}{8}\) = \(\frac{4}{8}\)

Question 9. \(\frac{6}{8}\) ______ \(\frac{6}{6}\)

Answer: \(\frac{6}{8}\) < \(\frac{6}{6}\)

Compare the fractions \(\frac{6}{8}\) and \(\frac{6}{6}\) We observe that numerators are the same and the denominators are different. So, \(\frac{6}{8}\) < \(\frac{6}{6}\)

Question 10. Javier is buying food in the lunch line. The tray of salad plates is \(\frac{3}{8}\) full. The tray of fruit plates is \(\frac{3}{4}\) full. Which tray is more full? The tray of ______ plates

Answer: The fruit plate tray

Javier is buying food in the lunch line. The tray of salad plates is \(\frac{3}{8}\) full. The tray of fruit plates is \(\frac{3}{4}\) full. Compare the fraction of salad plates and fruit plates. \(\frac{3}{8}\) and \(\frac{3}{4}\) The numerators are the same. So compare the denominators. So, \(\frac{3}{8}\) <\(\frac{3}{4}\) Thus the fruit plate tray is more full than the salad plate tray.

Question 11. Rachel bought some buttons. Of the buttons, \(\frac{2}{4}\) are yellow and \(\frac{2}{8}\) are red. Rachel bought more of which color buttons? More _______ buttons

Answer: Yellow

Rachel bought some buttons. Of the buttons, \(\frac{2}{4}\) are yellow and \(\frac{2}{8}\) are red. Compare \(\frac{2}{4}\) and \(\frac{2}{8}\) The fraction with the smaller denominator is greater. \(\frac{2}{4}\) >\(\frac{2}{8}\) Therefore there are more yellow buttons.

Compare Fractions with the Same Numerator – Page No. 524

Question 1. Which symbol makes the statement true? \(\frac{3}{4}\) O \(\frac{3}{8}\) a. > b. < c. = d. none

Answer: >

In the above statement, the fractions are of the same numerators. So, we need to check the denominators. The number with the highest number will be the least fraction. So, \(\frac{3}{4}\) > \(\frac{3}{8}\) Thus the correct answer is option A.

Question 2. Which symbol makes the statement true? \(\frac{2}{4}\) O \(\frac{2}{3}\) a. > b. < c. = d. none

Answer: <

The fractions are of the same numerators. So, we need to see the denominators. The number with the highest number will be the least fraction. So, \(\frac{2}{4}\) < \(\frac{2}{3}\) So, the correct answer is option B.

Question 3. Anita divided a circle into 6 equal parts and shaded 1 of the parts. Which fraction names the part she shaded? Options: a. \(\frac{1}{6}\) b. \(\frac{1}{5}\) c. \(\frac{5}{6}\) d. \(\frac{1}{1}\)

Answer: \(\frac{1}{6}\)

Given that, Anita divided a circle into 6 equal parts and shaded 1 of the parts. So, the fraction of the shaded part is \(\frac{1}{6}\) Thus the correct answer is option A.

Answer: \(\frac{2}{8}\)

The rectangle is divided into 8 equal parts. Out of 8 two parts are shaded. So, the fraction name of the shaded part is \(\frac{2}{8}\) The correct answer is option B.

Question 5. Chip worked at the animal shelter for 6 hours each week for several weeks. He worked for a total of 42 hours. Which of the following can be used to find the number of weeks Chip worked at the animal shelter? Options: a. 6 + 42 b. 42 − 6 c. 42 ÷ 6 d. 42 × 6

Answer: 42 ÷ 6

Chip worked at the animal shelter for 6 hours each week for several weeks. Number of hours he worked = 42 hours Number of weeks he worked at the animal shelter = x x × 6 = 42 x = 42 ÷ 6 Thus the correct answer is option C.

Question 6. Mr. Jackson has 20 quarters. If he gives 4 quarters to each of his children, how many children does Mr. Jackson have? Options: a. 3 b. 4 c. 5 d. 6

Given, Mr. Jackson has 20 quarters. If he gives 4 quarters to each of his children Number of children Mr. Jackson have = y y × 4 = 20 y = 20/4 = 5 Therefore, Mr. Jackson has 5 children.

Compare. Write <, >, or =. Write the strategy you used.

Answer: Same Numerator

Question 2. \(\frac{2}{3}\) ______ \(\frac{7}{8}\)

Answer: \(\frac{2}{3}\) < \(\frac{7}{8}\)

Missing pieces

Compare the fractions \(\frac{2}{3}\), \(\frac{7}{8}\) The numerators and denominators are different here. \(\frac{2}{3}\) × \(\frac{8}{8}\) = \(\frac{16}{24}\) \(\frac{7}{8}\) × \(\frac{3}{3}\) = \(\frac{21}{24}\) 16 is less than 24. So, \(\frac{16}{24}\) < \(\frac{21}{24}\) That means \(\frac{2}{3}\) < \(\frac{7}{8}\)

Question 3. \(\frac{3}{4}\) ______ \(\frac{1}{4}\)

The Denominator is the same here. So compare the numerators. \(\frac{3}{4}\), \(\frac{1}{4}\) 3 is greater than 1. Thus \(\frac{3}{4}\) > \(\frac{1}{4}\)

Name a fraction that is less than or greater than the given fraction. Draw to justify your answer.

Go Math Grade 3 Chapter 9 Operations with Fractions Answer Key Question 4. greater than \(\frac{1}{3}\) Type below: ___________

Answer: \(\frac{2}{3}\)

\(\frac{2}{3}\) is greater than \(\frac{1}{3}\)

Question 5. less than \(\frac{3}{4}\) Type below: ___________

Answer: \(\frac{2}{4}\)

\(\frac{2}{4}\) is less than \(\frac{3}{4}\)

Question 6. At the third-grade party, two groups each had their own pizza. The blue group ate \(\frac{7}{8}\) pizza. The green group ate \(\frac{2}{8}\) pizza. Which group ate more of their pizza? The _______ group

Answer: The blue group

Given, At the third-grade party, two groups each had their own pizza. The blue group ate \(\frac{7}{8}\) pizza. The green group ate \(\frac{2}{8}\) pizza. Compare the fractions of the blue group and green group. \(\frac{7}{8}\) and \(\frac{2}{8}\) The denominators are the same here. So compare the numerators. The numerator with the greatest number will be the greatest fraction. Therefore \(\frac{7}{8}\) > \(\frac{2}{8}\) So, the blue group ate more pizza.

Question 7. Ben and Antonio both take the same bus to school. Ben’s ride is \(\frac{7}{8}\) mile. Antonio’s ride is \(\frac{3}{4}\) mile. Who has a longer bus ride? ___________

Answer: Ben

Ben and Antonio both take the same bus to school. Ben’s ride is \(\frac{7}{8}\) mile. Antonio’s ride is \(\frac{3}{4}\) mile. Compare the fractions \(\frac{7}{8}\), \(\frac{3}{4}\) Make the denominators equal to compare the fractions. \(\frac{3}{4}\) × \(\frac{8}{8}\) = \(\frac{24}{32}\) \(\frac{7}{8}\) × \(\frac{4}{4}\) = \(\frac{28}{32}\) \(\frac{28}{32}\) > \(\frac{24}{32}\) \(\frac{7}{8}\) > \(\frac{3}{4}\) Thus Ben has a longer bus ride.

Compare Fractions – Page No. 530

Question 1. Which statement is correct? Options: a. \(\frac{2}{3}\) > \(\frac{7}{8}\) b. \(\frac{2}{3}\) < \(\frac{7}{8}\) c. \(\frac{2}{3}\) = \(\frac{7}{8}\) d. \(\frac{7}{8}\) = \(\frac{2}{3}\)

A. \(\frac{2}{3}\) > \(\frac{7}{8}\) Here the numerator of one fraction is greater than the numerator of the other fraction. So, \(\frac{2}{3}\) is not greater than \(\frac{7}{8}\) B. \(\frac{2}{3}\) < \(\frac{7}{8}\) Here the numerator of one fraction is greater than the numerator of the other fraction. 2 is less than 7. Thus the statement \(\frac{2}{3}\) < \(\frac{7}{8}\) is true. Option B is the answer.

Question 2. Which symbol makes the statement true? \(\frac{2}{4}\) O \(\frac{2}{6}\) a. > b. < c. = d. none

Compare the fractions \(\frac{2}{4}\) & \(\frac{2}{6}\) The numerator of both fractions is the same. So we need to compare the denominators. The denominator with the greater number will be the smallest fraction. Therefore, \(\frac{2}{4}\) > \(\frac{2}{6}\) The correct answer is option A.

Question 3. Cam, Stella, and Rose each picked 40 apples. They put all their apples in one crate. How many apples are in the crate? Options: a. 40 b. 43 c. 120 d. 123

Answer: 120

Given that, Cam, Stella, and Rose each picked 40 apples. They put all their apples in one crate. That means each person picked 40 apples = 40 + 40 + 40 = 120 apples Therefore there are 120 apples in the crate. The correct answer is option C.

Answer: \(\frac{8}{4}\)

From the figure we observe that there are 2 squares. Each square is divided into 4 equal parts. Total number of shaded parts = 4 So, the fraction of 1 whole shaded part is \(\frac{8}{4}\) Thus the correct answer is option C.

Question 5. Which related multiplication fact can you use to find 16 ÷ ■ = 2? Options: a. 4 × 4 = 16 b. 8 × 2 = 16 c. 8 × 1 = 8 d. 4 × 2 = 8

Answer: 8 × 2 = 16

16 ÷ ■ = 2 ■ = 16/2 = 8 So, the related multiplication fact of 16 ÷ ■ = 2 is 8 × 2 = 16. The correct answer is option B.

Question 6, What is the unknown factor? 9 × ■ = 36 Options: a. 7 b. 6 c. 4 d. 3

■ is the unknown factor 9 × ■ = 36 ■ = 36/9 = 4 Thus the correct answer is option C.

Concepts and Skills

Question 1. When two fractions refer to the same whole, explain why the fraction with a lesser denominator has larger pieces than the fraction with a greater denominator. Type below: ___________

Answer: If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller. Example: Let us consider an apple that is divided into equal parts. If the apple is divided among 2 people. Then each get \(\frac{1}{2}\) part of the apple. If the apple is divided among 4 people. Then each get \(\frac{1}{4}\) part of an apple. Hence, in the first case, people get more amount of apple than the second. Hence, if as a whole the denominator is less the fraction is greater.

Question 2. When two fractions refer to the same whole and have the same denominators, explain why you can compare only the numerators Type below: ___________

Answer: If the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. Example: Let us consider a pizza which is cut into 4 parts. One person ate 3 pieces then the fraction is \(\frac{3}{4}\) And the other person ate 1 piece then the fraction is \(\frac{1}{4}\) Now compare the fractions \(\frac{1}{4}\) and \(\frac{3}{4}\) First person ate 2 pieces more than the second person. Hence the fraction with the greater numerator is the greater fraction.

Question 3. \(\frac{1}{6}\) ______ \(\frac{1}{4}\)

Answer: \(\frac{1}{6}\) < \(\frac{1}{4}\)

\(\frac{1}{6}\), \(\frac{1}{4}\) In this case the numerators are same and the denominators are different. We know that the two fractions have the same numerator but different denominators the fraction with greater denominator is smaller. So, \(\frac{1}{6}\) < \(\frac{1}{4}\)

Question 4. \(\frac{1}{8}\) ______ \(\frac{1}{8}\)

Answer: \(\frac{1}{8}\) = \(\frac{1}{8}\)

Compare the fractions \(\frac{1}{8}\) & \(\frac{1}{8}\) The numerators and the denominators are the same here. Thus these are the equivalent fractions. Hence, \(\frac{1}{8}\) = \(\frac{1}{8}\)

Question 5. \(\frac{2}{8}\) ______ \(\frac{2}{3}\)

Compare the fractions \(\frac{2}{8}\) & \(\frac{2}{3}\) The numerators are the same and the denominators are different. As we know the denominators with the greatest number will be the smallest fraction. \(\frac{2}{8}\) < \(\frac{2}{3}\)

Question 6. \(\frac{4}{2}\) ______ \(\frac{1}{2}\)

Answer: \(\frac{4}{2}\) > \(\frac{1}{2}\)

Compare both the fractions \(\frac{4}{2}\) and \(\frac{1}{2}\) In this case, the denominators are the same but the numerators are different. So compare the numerators. 4 is greater than 1. Thus \(\frac{4}{2}\) > \(\frac{1}{2}\)

Question 7. \(\frac{7}{8}\) ______ \(\frac{3}{8}\)

Answer: \(\frac{7}{8}\) > \(\frac{3}{8}\)

Comparing the fractions \(\frac{7}{8}\) and \(\frac{3}{8}\) The denominators are same but the numerators are different. We know that the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. 7 is greater than 3. So, \(\frac{7}{8}\) > \(\frac{3}{8}\)

Question 8. \(\frac{5}{6}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{5}{6}\) > \(\frac{2}{3}\)

Compare the fractions \(\frac{5}{6}\) and \(\frac{2}{3}\) In this case the numerators and the denominators are different. So, we have to make the denominators equal. \(\frac{5}{6}\) × \(\frac{3}{3}\) = \(\frac{15}{18}\) \(\frac{2}{3}\) × \(\frac{6}{6}\) = \(\frac{12}{18}\) Now the denominators are same. So compare the numerators 15 is greater than 12. So, \(\frac{15}{18}\) > \(\frac{12}{18}\) That means \(\frac{5}{6}\) > \(\frac{2}{3}\)

Question 9. \(\frac{2}{4}\) ______ \(\frac{3}{4}\)

Answer: \(\frac{2}{4}\) < \(\frac{3}{4}\)

The denominators are the same. So compare the fractions with the numerators. 2 is less than 3. So, \(\frac{2}{4}\) < \(\frac{3}{4}\)

Question 10. \(\frac{6}{6}\) ______ \(\frac{6}{8}\)

Answer: \(\frac{6}{6}\) > \(\frac{6}{8}\)

Here the numerators are same but the denominators are different. We know that denominators with the greatest number will be the smallest fraction. Therefore, \(\frac{6}{6}\) > \(\frac{6}{8}\)

Question 11. \(\frac{3}{4}\) ______ \(\frac{7}{8}\)

Answer: \(\frac{3}{4}\) < \(\frac{7}{8}\)

Compare the fractions \(\frac{3}{4}\) and \(\frac{7}{8}\) The numerators and denominators are different. So, we have to make the denominators equal. \(\frac{3}{4}\) × \(\frac{8}{8}\) = \(\frac{24}{32}\) \(\frac{7}{8}\) × \(\frac{4}{4}\) = \(\frac{28}{32}\) Now the denominators are equal. So compare the numerators of both the fractions. \(\frac{24}{32}\) < \(\frac{28}{32}\) Therefore \(\frac{3}{4}\) < \(\frac{7}{8}\)

Question 12. greater than \(\frac{2}{6}\) Type below: ___________

Answer: \(\frac{4}{6}\) \(\frac{4}{6}\) > \(\frac{2}{6}\)

Question 13. less than \(\frac{2}{3}\) Type below: ___________

Answer: \(\frac{1}{3}\) \(\frac{1}{3}\) < \(\frac{2}{3}\)

Mid-Chapter Checkpoint – Page No. 532

Question 14. Two walls in Tiffany’s room are the same size. Tiffany paints \(\frac{1}{4}\) of one wall. Roberto paints \(\frac{1}{8}\) of the other wall. Who painted a greater amount in Tiffany’s room? ___________

Answer: Tiffany

Given that, Two walls in Tiffany’s room are the same size. Tiffany paints \(\frac{1}{4}\) of one wall. Roberto paints \(\frac{1}{8}\) of the other wall. The numerators are the same and the denominators are different here. So, we have to make the denominators same. \(\frac{1}{4}\) × \(\frac{8}{8}\) = \(\frac{8}{32}\) \(\frac{1}{8}\) × \(\frac{4}{4}\) = \(\frac{4}{32}\) Now compare the fractions \(\frac{8}{32}\) and \(\frac{4}{32}\) 8 is greater than 4. \(\frac{8}{32}\) > \(\frac{4}{32}\) Therefore, Tiffany painted greater amount than Roberto.

Question 15. Matthew ran \(\frac{5}{8}\) mile during track practice. Pablo ran \(\frac{5}{6}\) mile. Who ran farther? ___________

Answer: Pablo

Given, Matthew ran \(\frac{5}{8}\) mile during track practice. Pablo ran \(\frac{5}{6}\) mile. Compare the fractions \(\frac{5}{8}\) and \(\frac{5}{6}\) Numerators are the same and denominators are different. The denominator with the greatest number will be the smallest fraction. Thus \(\frac{5}{8}\) < \(\frac{5}{6}\) Pablo ran farther than Matthew.

Question 16. Mallory bought 6 roses for her mother. Two-sixths of the roses are red and \(\frac{4}{6}\) is yellow. Did Mallory buy fewer red roses or yellow roses? ___________

Answer: Red Roses

Mallory bought 6 roses for her mother. Two-sixths of the roses are red and \(\frac{4}{6}\) is yellow. Compare fractions \(\frac{4}{6}\) and \(\frac{2}{6}\) The denominators of both the fractions are the same and numerators are different. 4 is greater than 2. So, \(\frac{4}{6}\) > \(\frac{2}{6}\) Therefore Mallory buys fewer red roses.

Question 17. Lani used \(\frac{2}{3}\) cup of raisins, \(\frac{3}{8}\) cup of cranberries, and \(\frac{3}{4}\) cup of oatmeal to bake cookies. Which ingredient did Lani use the least amount of? ___________

Answer: Cranberries

Lani used \(\frac{2}{3}\) cup of raisins, \(\frac{3}{8}\) cup of cranberries, and \(\frac{3}{4}\) cup of oatmeal to bake cookies. Compare the fractions \(\frac{2}{3}\), \(\frac{3}{8}\) and \(\frac{3}{4}\) The numerators and denominators are different in this case. The denominator with the highest number will be the smallest fraction. Therefore Lani used the least amount of cranberries.

Write the fractions in order from greatest to least.

Question 2. \(\frac{2}{8}\), \(\frac{5}{8}\), \(\frac{1}{8}\) Type below: ___________

Answer: \(\frac{5}{8}\), \(\frac{2}{8}\), \(\frac{1}{8}\)

The denominators of three fractions are same. So compare the numerators of the fractions. 5 is greater than 2 is greater than 1. Thus the order of the fraction is \(\frac{5}{8}\), \(\frac{2}{8}\), \(\frac{1}{8}\)

Question 3. \(\frac{1}{3}\), \(\frac{1}{6}\), \(\frac{1}{2}\) Type below: ___________

Answer: \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{6}\)

Compare the three fractions \(\frac{1}{3}\), \(\frac{1}{6}\), \(\frac{1}{2}\) We observe that the numerators of the fractions are same and the denominators are different. We know that the denominators with the smallest number will be the greater fraction. Therefore, \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{6}\)

Go Math 3rd Grade Pdf Model Equivalent Fractions Lesson 9.6 Question 4. \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\) Type below: ___________

Answer: \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\)

Comparing the fractions \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\) The numerators are the same but the denominators are different. We know that the denominators with the greatest number will be the smallest fraction. 3 is greater than 6 is greater than 8. So, the order of the fraction is \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\)

Write the fractions in order from least to greatest.

Question 5. \(\frac{2}{4}\), \(\frac{4}{4}\), \(\frac{3}{4}\) Type below: ___________

Answer: \(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{4}{4}\)

The denominators are same but the numerators are different. So compare the numerators of three fractions. 2 < 3 < 4 \(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{4}{4}\)

Question 6. \(\frac{4}{6}\), \(\frac{5}{6}\), \(\frac{2}{6}\) Type below: ___________

Answer: \(\frac{2}{6}\), \(\frac{4}{6}\), \(\frac{5}{6}\)

Compare the fractions \(\frac{4}{6}\), \(\frac{5}{6}\), \(\frac{2}{6}\) The denominators are same but the numerators are different. So compare the numerators of the three fractions. The order of fractions from least to greatest is \(\frac{2}{6}\), \(\frac{4}{6}\), \(\frac{5}{6}\)

Question 7. \(\frac{7}{8}\), \(\frac{0}{8}\), \(\frac{3}{8}\) Type below: ___________

Answer: \(\frac{0}{8}\), \(\frac{3}{8}\), \(\frac{7}{8}\)

Compare the fractions \(\frac{7}{8}\), \(\frac{0}{8}\), \(\frac{3}{8}\) The numerators of the fractions are different. But the denominators are same. 0 < 3 < 7 The order from least to greatest is \(\frac{0}{8}\), \(\frac{3}{8}\), \(\frac{7}{8}\)

Question 8. \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\) Type below: ___________

Answer: \(\frac{3}{8}\), \(\frac{3}{6}\), \(\frac{3}{4}\)

Compare the fractions \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\) The numerators are same but the denominators of the three fractions are different. So, compare the denominators. The denominators with the greatest number will be the smallest fraction. So, the order of fractions from least to greatest is \(\frac{3}{8}\), \(\frac{3}{6}\), \(\frac{3}{4}\)

Question 9. Mr. Jackson ran \(\frac{7}{8}\) mile on Monday. He ran \(\frac{3}{8}\) mile on Wednesday and \(\frac{5}{8}\) mile on Friday. On which day did Mr. Jackson run the shortest distance? On ___________

Answer: Wednesday

Mr. Jackson ran \(\frac{7}{8}\) mile on Monday. He ran \(\frac{3}{8}\) mile on Wednesday and \(\frac{5}{8}\) mile on Friday The denominators of the fractions are the same. So, compare the numerators. Compare to all Mr. Jackson run the shortest distance on Wednesday.

Question 10. Delia has three pieces of ribbon. Her red ribbon is \(\frac{2}{4}\) foot long. Her green ribbon is \(\frac{2}{3}\) foot long. Her yellow ribbon is \(\frac{2}{6}\) foot long. She wants to use the longest piece for a project. Which color ribbon should Delia use? The _______ ribbon

Answer: Green

Delia has three pieces of ribbon. Her red ribbon is \(\frac{2}{4}\) foot long. Her green ribbon is \(\frac{2}{3}\) foot long. Her yellow ribbon is \(\frac{2}{6}\) foot long. Compare the fractions to know which color should Delia use. \(\frac{2}{4}\), \(\frac{2}{3}\) and \(\frac{2}{6}\) The numerators of the three fractions are the same but the denominators are different. \(\frac{2}{3}\) is longest among all. so, the answer is Green ribbon.

Compare and Order Fractions – Page No. 538

Question 1. Which list orders the fractions from least to greatest? Options: a. \(\frac{1}{8}\), \(\frac{1}{3}\), \(\frac{1}{6}\) b. \(\frac{1}{3}\), \(\frac{1}{6}\), \(\frac{1}{8}\) c. \(\frac{1}{8}\), \(\frac{1}{6}\), \(\frac{1}{3}\) d. \(\frac{1}{6}\), \(\frac{1}{8}\), \(\frac{1}{3}\)

Answer: \(\frac{1}{8}\), \(\frac{1}{6}\), \(\frac{1}{3}\)

When the numerators are the same, think about the denominators to compare and order fractions. The denominator with the greatest number is the smallest fraction. \(\frac{1}{8}\) < \(\frac{1}{6}\) < \(\frac{1}{3}\) So, the order is \(\frac{1}{8}\), \(\frac{1}{6}\), \(\frac{1}{3}\)

Question 2. Which list orders the fractions from greatest to least? Options: a. \(\frac{3}{8}\), \(\frac{3}{6}\), \(\frac{3}{4}\) b. \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\) c. \(\frac{3}{4}\), \(\frac{3}{8}\), \(\frac{3}{4}\) d. \(\frac{3}{6}\), \(\frac{3}{4}\), \(\frac{3}{8}\)

Answer: \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)

If the numerators are the same, think about the denominators to compare and order fractions. The denominators with the smallest number will be the greatest fraction. \(\frac{3}{4}\) > \(\frac{3}{6}\) > \(\frac{3}{8}\) Thus the fractions from greatest to least are \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)

Answer: \(\frac{3}{8}\)

Total number of cars = 8 Number of shaded cars among those 8 cars = 3 So, the fraction of the shaded cars = 3/8 Thus the answer is option A.

Question 4. Wendy has 6 pieces of fruit. Of these, 2 pieces are bananas. What fraction of Wendy’s fruit is bananas? Options: a. \(\frac{2}{6}\) b. \(\frac{2}{4}\) c. \(\frac{4}{6}\) d. \(\frac{2}{2}\)

Answer: \(\frac{2}{6}\)

Given that, Wendy has 6 pieces of fruit. Of these, 2 pieces are bananas. The fraction of Wendy’s fruit is 2/6 Thus the correct answer is \(\frac{2}{6}\) i.e., option A.

Go Math Grade 3 Lesson 6 Compare and Order Fractions Answer Key Question 5. Toby collects data and makes a bar graph about his classmates’ pets. He finds that 9 classmates have dogs, 2 classmates have fish, 6 classmates have cats, and 3 classmates have gerbils. Which pet will have the longest bar on the bar graph? Options: a. dog b. fish c. cat d. gerbil

Answer: dog

Number of classmates who have dogs = 9 Number of classmates who have fish = 2 Number of classmates who have cats = 6 Number of classmates who have gerbils = 3 So, dogs will have the longest bar on the bar graph.

Question 6. The number sentence is an example of which multiplication property? 6 × 7 = (6 × 5) + (6 × 2) Options: a. Associative b. Commutative c. Distributive d. Identity

Answer: Distributive

6 × 7 = (6 × 5) + (6 × 2) Here 7 is distributed into 5 + 2 According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. So, the answer is option C.

Shade the model. Then divide the pieces to find the equivalent fraction.

Answer: \(\frac{4}{8}\) Explanation:

The figure shows that there are 8 equal parts and 4 of them are shaded. The Fraction of the shaded part is \(\frac{4}{8}\) Thus, \(\frac{4}{8}\) = \(\frac{2}{4}\)

There are 6 equal parts in which 2 parts are shaded. Now the fraction for the shaded part is \(\frac{2}{6}\)

\(\frac{1}{3}\) = \(\frac{2}{6}\)

Use the number line to find the equivalent fraction.

The fraction \(\frac{1}{2}\) and \(\frac{2}{4}\) lies on the same point.

Therefore, \(\frac{1}{2}\) = \(\frac{2}{4}\)

Answer: \(\frac{6}{8}\)

The above figure shows that the point \(\frac{6}{8}\) and \(\frac{3}{4}\) lies on the same point on the number line.

Thus \(\frac{3}{4}\) = \(\frac{6}{8}\)

Question 5. Mike says that \(\frac{3}{3}\) of his fraction model is shaded blue. Ryan says that \(\frac{6}{6}\) of the same model is shaded blue. Are the two fractions equivalent? If so, what is another equivalent fraction? ___________

Answer: \(\frac{2}{2}\)

Mike says that \(\frac{3}{3}\) of his fraction model is shaded blue. Ryan says that \(\frac{6}{6}\) of the same model is shaded blue. The two fractions are equivalent. \(\frac{3}{3}\) = \(\frac{6}{6}\) = \(\frac{2}{2}\)

Question 6. Brett shaded \(\frac{4}{8}\) of a sheet of notebook paper. Aisha says he shaded \(\frac{1}{2}\) of the paper. Are the two fractions equivalent? If so, what is another equivalent fraction? ___________

\(\frac{1}{2}\) = \(\frac{4}{8}\) So, the two fractions are equivalent. The another equivalent fraction is \(\frac{2}{4}\).

Model Equivalent Fractions – Page No. 544

Answer: \(\frac{4}{6}\)

\(\frac{2}{3}\) = \(\frac{4}{6}\)

The fugure shows that the \(\frac{1}{4}\) and \(\frac{2}{8}\) lies on the same point. So, the equivalent fraction of \(\frac{1}{4}\) is \(\frac{2}{8}\) Thus the correct answer is option C.

Question 3. Eric practiced piano and guitar for a total of 8 hours this week. He practiced the piano for \(\frac{1}{4}\) of that time. How many hours did Eric practice the piano this week? Options: a. 6 hours b. 4 hours c. 3 hours d. 2 hours

Answer: 2 hours

Eric practiced piano and guitar for a total of 8 hours this week. He practiced the piano for \(\frac{1}{4}\) of that time. To find how many hours did Eric practice the piano this week You need to multiply the total number of hours with a fraction of the time he practiced. 8 ×  \(\frac{1}{4}\) = 2 hours Thus the correct answer is option D.

Question 4. Kylee bought a pack of 12 cookies. One-third of the cookies are peanut butter. How many of the cookies in the pack are peanut butter? Options: a. 9 b. 6 c. 4 d. 3

Given, Kylee bought a pack of 12 cookies. One-third of the cookies are peanut butter. To find the number of cookies in the pack is peanut butter. Multiply number of cookies with a fraction of cookies are peanut butter 12 × \(\frac{1}{3}\) = 4 So, the correct answer is option C.

Question 5. There are 56 students going to the game. The coach puts 7 students in each van. Which number sentence can be used to find how many vans are needed to take the students to the game? Options: a. 56 + 7 = ■ b. ■ + 7 = 56 c. ■ × 7 = 56 d. 56 − 7 = ■

Answer: ■ × 7 = 56

There are 56 students going to the game. The coach puts 7 students in each van. Let ■ be the number of vans 56 ÷ 7 = ■ ■ × 7 = 56 ■ = 8 Thus the correct answer is option C.

Answer: 8 ÷ 2 = 4

Number of counters = 8 Number of equal groups = 4 Number in each group = 2 The division equation is 8 ÷ 2 = 4 So, the answer is option D.

Question 13. Christy bought 8 muffins. She chose 2 apple, 2 banana, and 4 blueberry. She and her family ate the apple and banana muffins for breakfast. What fraction of the muffins did they eat? Write an equivalent fraction. Draw a picture. \(\frac{□}{□}\)

Answer: \(\frac{4}{8}\)

Given: Christy bought 8 muffins. She chose 2 apples, 2 bananas, and 4 blueberries. She and her family ate the apple and banana muffins for breakfast. They had 2 apples and 2 banana muffins for their breakfast. Only 4 blueberries are left out of 8 muffins. The fraction of the muffins they ate = \(\frac{4}{8}\) or \(\frac{1}{2}\)

To know the fraction of the whole pan of cornbread that each friend gets. I divide each third into 2 equal pieces to get 4 pieces in all. \(\frac{2}{3}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) That means each friend gets \(\frac{1}{6}\) of cornbread of the whole pan.

Question 15. There are 16 people having lunch. Each person wants \(\frac{1}{4}\) of a pizza. How many whole pizzas are needed? Draw a picture to show your answer. ______ pizzas

Answer: 4 pizzas

Given that, There are 16 people having lunch. Each person wants \(\frac{1}{4}\) of a pizza. Multiply the total number of people by a fraction of each pizza for one person. = 16 × \(\frac{1}{4}\) = 16/4 = 4 Therefore 4 pizzas are needed for 16 people.

Answer: \(\frac{10}{2}\)

Lucy has 5 oatmeal bars, each cut in half. Total number of oatmeal bars = 5 5 oatmeal bars are divided into halves = 5 + 5 = 10 So. the fraction name for all of the oatmeal bar halves = \(\frac{10}{2}\)

Question 16. What if Lucy cuts each part of the oatmeal bar into 2 equal pieces to share with friends? What fraction names all of the oatmeal bar pieces now? \(\frac{□}{□}\)

The above figure shows that there are 5 oatmeal bars. And each oatmeal bar is divided into halves = 5 × 2 = 10 The fraction for the all of the oatmeal bar halves = \(\frac{10}{2}\) The equivalent fraction of \(\frac{10}{2}\) is \(\frac{20}{4}\)

Mr. Peters made a pizza. There is \(\frac{4}{8}\) of the pizza left over. The equivalent fraction of \(\frac{4}{8}\) is \(\frac{2}{4}\) So, the correct answer is option C.

Each shape is 1 whole. Shade the model to find the equivalent fraction.

The circle is divided into 6 equal groups. Each group is \(\frac{1}{6}\) of the whole circle. There are 3 shaded parts in the circle. So, the fraction of the shaded part is \(\frac{3}{6}\). \(\frac{1}{2}\) = \(\frac{3}{6}\)

The square is divided into 8 equal parts. Each group is \(\frac{1}{8}\) of the whole square. There are 6 shaded parts in the square. Thus the fraction of the shaded part is 6/8 So, \(\frac{3}{4}\) = \(\frac{6}{8}\)

Circle equal groups to find the equivalent fraction.

Answer: \(\frac{1}{2}\)

Rectangle is divided into 4 equal parts. The fraction of each group is 1/4. There are 2 shaded parts out of 4 = \(\frac{2}{4}\) latex]\frac{2}{4}[/latex] = \(\frac{1}{2}\)

The figure shows that the rectangle is divided into 6 equal parts and 4 are shaded among them. The fraction of the shaded part is \(\frac{4}{6}\) We can also write it as \(\frac{2}{3}\) Thus, \(\frac{4}{6}\) = \(\frac{2}{3}\)

Question 5. May painted 4 out of 8 equal parts of a poster board blue. Jared painted 2 out of 4 equal parts of a same-size poster board red. Write fractions to show which part of the poster board each person painted. Type below: ____________

Answer: May \(\frac{4}{8}\); Jared \(\frac{2}{4}\)

Given that, May painted 4 out of 8 equal parts of a poster board blue. 4 parts are shaded out of 8 parts. So, the fraction of the shaded part is \(\frac{4}{8}\) Jared painted 2 out of 4 equal parts of a same-size poster board red. The fraction of the shaded part is \(\frac{2}{4}\)

Question 6. Are the fractions equivalent? Draw a model to explain. ____________

Answer: Yes

Equivalent Fractions – Page No. 550

Answer: \(\frac{3}{4}\)

\(\frac{6}{8}\) = \(\frac{3}{4}\) So, the correct answer is option C.

\(\frac{1}{3}\) = \(\frac{2}{6}\) The correct answer is option C.

Answer: 16 ÷ 2 = 8

Number of counters = 16 Number of rows = 2 Divide the Number of counters by the number of rows = 16 ÷ 2 = 8 Thus the correct answer is option D.

Go Math Grade 3 Chapter 9 Answer Key Question 4. Cody put 4 plates on the table. He put 1 apple on each plate. Which number sentence can be used to find the total number of apples on the table? Options: a. 4 + 1 = 5 b. 4 − 1 = 3 c. 4 × 1 = 4 d. 4 ÷ 2 = 2

Answer: 4 × 1 = 4

Cody put 4 plates on the table. He put 1 apple on each plate. The total number of apples on each table = 4 × 1 = 4 So, the correct answer is option C.

Question 5. Which number sentence is a related fact to 7 × 3 = 21? Options: a. 7 + 3 = 10 b. 7 − 3 = 4 c. 7 × 2 = 14 d. 21 ÷ 3 = 7

Answer: 21 ÷ 3 = 7

The related division fact of 7 × 3 = 21 is 21 ÷ 3 = 7 The correct answer is option D.

Question 6. Find the quotient. 4)\(\bar{3 6}\) Options: a. 9 b. 8 c. 7 d. 6

36 ÷ 4 = 9 4 divides 36 nine times. So the quotient is 9. So, the correct answer is option A.

Question 1. Alexa and Rose read books that have the same number of pages. Alexa’s book is divided into 8 equal chapters. Rose’s book is divided into 6 equal chapters. Each girl has read 3 chapters of her book. Write a fraction to describe what part of the book each girl read. Then tell who read more pages. Explain. Type below: _____________

Answer: Rose read more pages than Alexa

Given that, Alexa and Rose read books that have the same number of pages. Alexa’s book is divided into 8 equal chapters. Rose’s book is divided into 6 equal chapters. Each girl has read 3 chapters of her book. The fraction of Alexa’s book = \(\frac{3}{8}\) The fraction of Rose’s book = \(\frac{3}{6}\) Now, compare the fractions to find who read more pages. \(\frac{3}{8}\) & \(\frac{3}{6}\) The numerators of the two fractions are the same. So compare the denominators. The denominator of the greater number will be the smallest fraction. \(\frac{3}{8}\) < \(\frac{3}{6}\) By this, we can say that Rose read more pages than Alexa.

Question 2. David, Maria, and Simone are shading same-sized index cards for a science project. David shaded \(\frac{2}{4}\) of his index card. Maria shaded \(\frac{2}{8}\) of her index card and Simone shaded \(\frac{2}{6}\) of her index card. For 2a–2d, choose Yes or No to indicate whether the comparisons are correct. a. \(\frac{2}{4}\) > \(\frac{2}{8}\) i. yes ii. no

\(\frac{2}{4}\) > \(\frac{2}{8}\) The denominators with the smallest number will be the greatest fraction. Thus the statement \(\frac{2}{4}\) > \(\frac{2}{8}\) is true.

Question 2. b. \(\frac{2}{8}\) > \(\frac{2}{6}\) i. yes ii. no

\(\frac{2}{8}\) > \(\frac{2}{6}\) The numerators are same so compare the denominators. The denominator with the greatest number will be the smallest fraction. \(\frac{2}{8}\) < \(\frac{2}{6}\) Thus the statement is false.

Question 2. c. \(\frac{2}{6}\) < \(\frac{2}{4}\) i. yes ii. no

\(\frac{2}{6}\), \(\frac{2}{4}\) The numerators are same so compare the denominators. The denominator with the greatest number will be the smallest fraction. \(\frac{2}{6}\) < \(\frac{2}{4}\) Thus the statement is correct.

Question 2. d. \(\frac{2}{8}\) = \(\frac{2}{4}\) i. yes ii. no

\(\frac{2}{8}\) = \(\frac{2}{4}\) The numerators and denominators are different. So, \(\frac{2}{8}\) is not equal to \(\frac{2}{4}\) The statement is false.

Go Math Grade 3 Chapter 9 Pdf Question 3. Dan and Miguel are working on the same homework assignment. Dan has finished \(\frac{1}{4}\) of the assignment. Miguel has finished \(\frac{3}{4}\) of the assignment. Which statement is correct? Mark all that apply. Options: a. Miguel has completed the entire assignment. b. Dan has not completed the entire assignment. c. Miguel has finished more of the assignment than Dan. d. Dan and Miguel have completed equal parts of the assignment.

Answer: B & C are the correct statements.

Given, Dan and Miguel are working on the same homework assignment. Dan has finished \(\frac{1}{4}\) of the assignment. Miguel has finished \(\frac{3}{4}\) of the assignment. A. Miguel has completed the entire assignment. Miguel has finished \(\frac{3}{4}\) of the assignment. So the statement is false. B. Dan has not completed the entire assignment. Dan has finished \(\frac{1}{4}\) of the assignment. So the statement is true. C. Miguel has finished more of the assignment than Dan. \(\frac{3}{4}\) > \(\frac{1}{4}\) So, the statement is true. D. Dan and Miguel have completed equal parts of the assignment. \(\frac{3}{4}\) is not equal to \(\frac{1}{4}\) Thus the statement is false. So the correct answer is B & C.

Question 4. Bryan cut two peaches that were the same size for lunch. He cut one peach into fourths and the other into sixths. Bryan ate \(\frac{3}{4}\) of the first peach. His brother ate \(\frac{5}{6}\) of the second peach. Who ate more peach? Explain the strategy you used to solve the problem. ___________

Answer: Bryan’s brother

Given that, Bryan cut two peaches that were the same size for lunch. He cut one peach into fourths and the other into sixths. Bryan ate \(\frac{3}{4}\) of the first peach. His brother ate \(\frac{5}{6}\) of the second peach. Compare the fractions \(\frac{3}{4}\) and \(\frac{5}{6}\) The numerators and denominators are different. \(\frac{3}{4}\) × \(\frac{6}{6}\) = \(\frac{18}{24}\) \(\frac{5}{6}\) × \(\frac{3}{4}\) = \(\frac{15}{24}\) \(\frac{15}{24}\) < \(\frac{18}{24}\) By this we can say that Bryan’s brother ate more peach.

Answer: Evening walk

Given, The morning walk is \(\frac{2}{3}\) mile The evening walk is \(\frac{3}{6}\) mile. The shorter among both is \(\frac{3}{6}\) i.e, evening walk

\(\frac{2}{3}\) > \(\frac{3}{6}\)

Answer: \(\frac{3}{8}\) < \(\frac{5}{8}\)

Given, Chun lives \(\frac{3}{8}\) mile from school. Gail lives \(\frac{5}{8}\) mile from school. Denominators are the same so we have to compare the numerators. 3 is less than 5. \(\frac{3}{8}\) < \(\frac{5}{8}\)

Mrs. Reed could cut one pan of lasagna into thirds:

Mrs. Reed could cut one pan of lasagna into fourths:

Mrs. Reed could cut one pan of lasagna into sixths:

Mrs. Reed could cut one pan of lasagna into eighths:

Question 7. Part B At the end of the dinner, equivalent amounts of lasagna in two pans were left. Use the models to show the lasagna that might have been left over. Write two pairs of equivalent fractions to represent the models. Type below: ___________

\(\frac{1}{4}\) = \(\frac{2}{8}\)

Answer: \(\frac{4}{6}\) = \(\frac{2}{3}\)

The above figure shows that the fraction of the first figure \(\frac{4}{6}\) is equal to the fraction of the second figure i.e., \(\frac{2}{3}\).

Question 9. Avery prepares 2 equal-size oranges for the bats at the zoo. One dish has \(\frac{3}{8}\) of an orange. Another dish has \(\frac{1}{4}\) of an orange. Which dish has more orange? Show your work. \(\frac{□}{□}\)

Answer: First, we need to find an equivalent fraction to \(\frac{1}{4}\) so it would have the same denominator as \(\frac{3}{8}\) \(\frac{1}{4}\) = \(\frac{2}{8}\) – equivalent fractions Now we can compare the fractions: \(\frac{2}{8}\) < \(\frac{3}{8}\) Therefore \(\frac{1}{4}\) < \(\frac{3}{8}\) So, the answer is \(\frac{3}{8}\)

Question 10. Jenna painted \(\frac{1}{8}\)of one side of a fence. Mark painted \(\frac{1}{6}\) of the other side of the same fence. Use >, =, or < to compare the parts that they painted. \(\frac{1}{8}\) ______ \(\frac{1}{6}\)

Answer: \(\frac{1}{8}\) < \(\frac{1}{6}\)

Jenna painted \(\frac{1}{8}\)of one side of a fence. Mark painted \(\frac{1}{6}\) of the other side of the same fence. The numerators of both fractions are the same. So compare the denominators. \(\frac{1}{8}\) & \(\frac{1}{6}\) The denominator with the greatest number will be the smallest fraction. So, \(\frac{1}{8}\) < \(\frac{1}{6}\)

Question 11. Bill used \(\frac{1}{3}\) cup of raisins and \(\frac{2}{3}\) cup of banana chips to make a snack. For 11a–11d, select True or False for each comparison. a. \(\frac{1}{3}\) > \(\frac{2}{3}\) i. True ii. False

Answer: False

The denominators are the same here. So check the numerators. 1 is less than 2. \(\frac{1}{3}\) > \(\frac{2}{3}\) The statement is false.

Question 11. b. \(\frac{2}{3}\) = \(\frac{1}{3}\) i. True ii. False

The denominators and numerators are not equal in this equation. So, the statement is false.

Question 11. c. \(\frac{1}{3}\) < \(\frac{2}{3}\) i. True ii. False

Answer: True

The denominators of both the fractions are the same. Compare the numerators. 1 is less than 2. So, \(\frac{1}{3}\) < \(\frac{2}{3}\). The statement is true.

Question 11. d. \(\frac{2}{3}\) > \(\frac{1}{3}\) i. True ii. False

The denominators of both the fractions are the same. Compare the numerators. 2 is greater than 1. \(\frac{2}{3}\) > \(\frac{1}{3}\) The statement is true.

Question 12. Jorge, Lynne, and Crosby meet at the playground. Jorge lives \(\frac{5}{6}\) mile from the playground. Lynne lives \(\frac{4}{6}\) mile from the playground. Crosby lives \(\frac{7}{8}\) mile from the playground. Part A Who lives closer to the playground, Jorge or Lynne? Explain how you know. _____

Answer: Lynne

Jorge lives \(\frac{5}{6}\) mile from the playground. Lynne lives \(\frac{4}{6}\) mile from the playground. The denominators are the same. So, compare the numerators. 5 is greater than 4. So, \(\frac{5}{6}\) > \(\frac{4}{6}\) Therefore, Lynne lives closer to the playground.

Question 12. Part B Who lives closer to the playground, Jorge or Crosby? Explain how you know. _____

Answer: Jorge

Jorge lives \(\frac{5}{6}\) mile from the playground. Crosby lives \(\frac{7}{8}\) mile from the playground. Compare the fraction of both Jorge and Crosby. \(\frac{5}{6}\) × \(\frac{8}{8}\) = \(\frac{40}{48}\) \(\frac{7}{8}\) × \(\frac{6}{6}\) = \(\frac{42}{48}\) \(\frac{40}{48}\) < \(\frac{42}{48}\) Therefore, Jorge lives closer to the playground.

Question 13. Ming needs \(\frac{1}{2}\) pint of red paint for an art project. He has 6 jars that have the following amounts of red paint in them. He wants to use only 1 jar of paint. Mark all of the jars of paints that Ming could use. Options: a. \(\frac{2}{3}\) pint b. \(\frac{1}{4}\) pint c. \(\frac{4}{6}\) pint d. \(\frac{3}{4}\) pint e. \(\frac{3}{8}\) pint f. \(\frac{2}{6}\) pint

Answer: \(\frac{2}{3}\) pint, \(\frac{3}{4}\) pint, \(\frac{4}{6}\) pint

We have to find all the jars that have an amount of paint greater than \(\frac{1}{2}\) A. \(\frac{2}{3}\) pint > \(\frac{1}{2}\) B. \(\frac{1}{4}\) pint < \(\frac{1}{2}\) C. \(\frac{4}{6}\) pint > \(\frac{1}{2}\) D. \(\frac{3}{4}\) pint < \(\frac{1}{2}\) E. \(\frac{3}{8}\) pint < \(\frac{1}{2}\) F. \(\frac{2}{6}\) pint < \(\frac{1}{2}\)

Answer: 4 sub sandwiches

Given that, There are 12 people having lunch. Each person wants \(\frac{1}{3}\) of a sub sandwich. Multiply the number of people with Each person wants of a sub sandwich. 12 × \(\frac{1}{3}\) 3 divides 12 four times. So, the answer is 4 sub sandwiches.

Answer:  \(\frac{2}{4}\) = \(\frac{1}{2}\)

Question 16. Pat has three pieces of fabric that measure \(\frac{3}{6}\), \(\frac{5}{6}\), and \(\frac{2}{6}\) yards long. Write the lengths in order from least to greatest. Type below: ___________

Answer: \(\frac{2}{6}\), \(\frac{3}{6}\), \(\frac{5}{6}\)

The denominators of \(\frac{3}{6}\), \(\frac{5}{6}\), and \(\frac{2}{6}\) are same. So, Compare the numerators 2 < 3, 5

\(\frac{4}{6}\) < \(\frac{4}{4}\) \(\frac{4}{8}\) < \(\frac{4}{4}\) \(\frac{4}{6}\) > \(\frac{4}{8}\) The numerators are same. So, compare the denominators. The greatest fraction will have the lesser denominator. \(\frac{4}{8}\) < \(\frac{4}{6}\) < \(\frac{4}{4}\).

Answer: \(\frac{1}{2}\) = \(\frac{2}{4}\) = \(\frac{4}{8}\)

Total number of boxes are 4 and each are grouped into 2 = 8 Out of 4 boxes 2 boxes are shaded = \(\frac{2}{4}\) \(\frac{2}{4}\) = \(\frac{1}{2}\) Next out of 8 grouped squares 4 are shaded = \(\frac{4}{8}\) \(\frac{4}{8}\) = \(\frac{1}{2}\) Therefore the equivalent fractions are \(\frac{1}{2}\) = \(\frac{2}{4}\) = \(\frac{4}{8}\)

Question 19. Floyd caught a fish that weighed \(\frac{2}{3}\) pound. Kira caught a fish that weighed \(\frac{7}{8}\) pound. Whose fish weighed more? Explain the strategy you used to solve the problem. _____

Answer: Kira

We need to find equivalent fractions with the same denominator: So Make the denominators of \(\frac{2}{3}\) and \(\frac{7}{8}\) equal. \(\frac{2}{3}\) × \(\frac{8}{8}\) = \(\frac{16}{24}\) \(\frac{7}{8}\) × \(\frac{3}{3}\) = \(\frac{21}{24}\) \(\frac{16}{24}\) < \(\frac{21}{24}\) Therefore \(\frac{2}{3}\) < \(\frac{7}{8}\)

Total number of boxes are 4 and each is grouped into 2 = 8 Out of 4 boxes 3 boxes are shaded = \(\frac{3}{4}\) Next out of 8 grouped squares 6 are shaded = \(\frac{6}{8}\) Thus the fraction is equivalent to \(\frac{3}{4}\) is \(\frac{6}{8}\)

Use the practice and Homework pages links to learn the concepts and skills which are provided in the Go Math Answer Key for Grade 3 Chapter 9 Compare Fractions. Help your child to climb greater heights and fall in love with Math learning. If you want to practice more problems you can go through the Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Extra Practice .

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Math Expressions Grade 4 Unit 6 Lesson 4 Answer Key Mixed Numbers and Fractions Greater Than 1

Solve the questions in Math Expressions Grade 4 Homework and Remembering Answer Key Unit 6 Lesson 4 Answer Key Mixed Numbers and Fractions Greater Than 1 to attempt the exam with higher confidence. https://mathexpressionsanswerkey.com/math-expressions-grade-4-unit-6-lesson-4-answer-key/

Math Expressions Common Core Grade 4 Unit 6 Lesson 4 Answer Key Mixed Numbers and Fractions Greater Than 1

Math Expressions Grade 4 Unit 6 Lesson 4 Homework

Write the equivalent fraction.

Unit 6 Lesson 4 Mixed Numbers And Fractions Greater Than 1 Question 1. 6\(\frac{2}{5}\) = _____________ Answer: 6\(\frac{2}{5}\) = \(\frac{30}{5}\) + \(\frac{2}{5}\) = \(\frac{32}{5}\)

Mixed Numbers And Fractions Greater Than 1 Unit 6 Lesson 4 Question 2. 2\(\frac{3}{8}\) = _____________ Answer: 2\(\frac{3}{8}\) = \(\frac{16}{8}\) + \(\frac{3}{8}\) = \(\frac{19}{8}\)

Mixed Numbers And Fractions Greater Than 1 Grade 4 Math Expressions Question 3. 4\(\frac{6}{7}\) = _____________ Answer: 4\(\frac{6}{7}\) = \(\frac{28}{7}\)  + \(\frac{6}{7}\) = \(\frac{34}{7}\)

Unit 6 Lesson 4 Math Expressions Answer Key Question 4. 8\(\frac{1}{3}\) = _____________ Answer: 8\(\frac{1}{3}\) = \(\frac{24}{3}\)  + \(\frac{1}{3}\) = \(\frac{25}{3}\)

Unit 6 Lesson 4 Math Expressions Answer Key Question 5. 3\(\frac{7}{10}\) = ____________ Answer: 3\(\frac{7}{10}\) = \(\frac{30}{10}\) + \(\frac{7}{10}\) = \(\frac{37}{10}\)

Fraction Greater Than 1 Grade 4 Unit 6 Lesson 4 Answer Key Question 6. 5\(\frac{5}{6}\) = ______________ Answer: 5\(\frac{5}{6}\) = \(\frac{30}{6}\) + \(\frac{5}{6}\) = \(\frac{35}{6}\)

Fractions Greater Than 1 Math Expressions Grade 4 Unit 6 Lesson 4 Question 7. 7\(\frac{3}{4}\) = _____________ Answer: 7\(\frac{3}{4}\) = \(\frac{28}{4}\)  + \(\frac{3}{4}\) = \(\frac{31}{4}\)

Question 8. 1\(\frac{4}{9}\) = ______________ Answer: 1\(\frac{4}{9}\) = \(\frac{9}{9}\) + \(\frac{4}{9}\) = \(\frac{13}{9}\)

Write the equivalent mixed number.

Question 9. \(\frac{50}{7}\) = ______________ Answer: \(\frac{50}{7}\) = 7\(\frac{1}{7}\)

Question 10. \(\frac{16}{10}\) = ______________ Answer: \(\frac{16}{10}\) = 1\(\frac{6}{10}\)

Question 11. \(\frac{23}{4}\) = ______________ Answer: \(\frac{23}{4}\) = 5\(\frac{3}{4}\)

Question 12. \(\frac{50}{5}\) = ______________ Answer: \(\frac{50}{5}\) = 9\(\frac{5}{5}\)

Question 13. \(\frac{21}{8}\) = ______________ Answer: \(\frac{21}{8}\) = 2\(\frac{5}{8}\)

Question 14. \(\frac{11}{3}\) = ______________ Answer: \(\frac{11}{3}\) = 3\(\frac{2}{3}\)

Question 15. \(\frac{60}{9}\) = ______________ Answer: \(\frac{60}{9}\) = 6\(\frac{6}{9}\)

Question 16. \(\frac{23}{5}\) = ______________ Answer: \(\frac{23}{5}\) = 3\(\frac{8}{5}\)

Solve. Show your work.

Question 17. Castor brought 6\(\frac{3}{4}\) small carrot cakes to share with the 26 students in his class. Did Castor bring enough for each student to have \(\frac{1}{4}\) of a cake? Explain your thinking. Answer: Yes, Castor brought enough cake for each student to have \(\frac{1}{4}\).

Explanation: Quantity of cake Castor brought = 6\(\frac{3}{4}\) Number of students to share the cake = 26. Quantity of share the cake to each student in the class = \(\frac{1}{4}\) Total quantity of cake students got = Number of students to share the cake × Quantity of share the cake to each student in the class = 26 × \(\frac{1}{4}\) = 6\(\frac{2}{4}\)

Question 18. Claire cut some apples into eighths. She and her friends ate all but 17 pieces. How many whole apples and parts of apples did she have left over? Tell how you know. Answer: Number of apples left over = 7.

Explanation: Number of apple pieces she and her friend ate = 17. Number of whole apples = 3. Total pieces of three apples = 8 × 3 = 24. Number of apples left over = Total pieces of three apples – Number of apple pieces she and her friend ate = 24 – 17 = 7.

Math Expressions Grade 4 Unit 6 Lesson 4 Remembering

Write and solve an equation to solve each problem. Draw comparison bars when needed.

Question 1. Brigitte fostered 14 dogs this year, which is 5 less than last year. How many dogs did Brigitte foster last year? Answer: Number of dogs Brigitte fostered last year = 19.

Explanation: Number of dogs Brigitte fostered this year = 14. Brigitte fostered 14 dogs this year, which is 5 less than last year. => Number of dogs Brigitte fostered last year = Number of dogs Brigitte fostered this year + 5 = 14 + 5 = 19.

Question 2. Rema has two jobs. In one year, she worked 276 hours at her first job. In the same year. she worked 3 times the number of hours at her second job. How many hours did Rema work that year at her second job? Answer: Number of hours she worked at her second job = 828.

Explanation: Number of hours she worked at her first job = 276. In the same year. she worked 3 times the number of hours at her second job. => Number of hours she worked at her second job = Number of hours she worked at her first job × 3 = 276 × 3 = 828.

Question 3. How many milliliters are equal to 21 L? Answer: 21 Liters = 21,000 milliliters.

Explanation: 1 Liter = 1000 milliliters. => 21 Liters = 1000 × 21 = 21,000 milliliters.

Question 4. How many milligrams are equal to 9 g? Answer: 9 g = 9,000 milligrams.

Explanation: 1 gram = 1000 milligrams. => 9 grams = 1000 × 9 = 9,000 milligrams.

Question 5. How many grams are equal to 400 kg?. Answer: 400 kg = 400,000 grams.

Explanation: 1 kilogram = 1000 grams. => 400 kilograms = 1000 × 400 = 400,000 grams.

Question 6. \(\frac{3}{4}\) – \(\frac{1}{4}\) = __________ Answer: \(\frac{3}{4}\) – \(\frac{1}{4}\) = \(\frac{2}{4}\)

Question 7. \(\frac{2}{9}\) + \(\frac{3}{9}\) = ___________ Answer: \(\frac{2}{9}\) + \(\frac{3}{9}\) = \(\frac{5}{9}\)

Question 8. \(\frac{7}{8}\) – \(\frac{1}{8}\) = _____________ Answer: \(\frac{7}{8}\) – \(\frac{1}{8}\) = \(\frac{6}{8}\)

Question 9. Stretch Your Thinking Harrison says that to convert a mixed number to a fraction greater than 1, he thinks of it this way: 4\(\frac{2}{5}\) = \(\frac{5}{5}\) + \(\frac{5}{5}\) + \(\frac{5}{5}\) + \(\frac{5}{5}\) + \(\frac{2}{5}\) = \(\frac{22}{5}\). Does his strategy work? Explain. Answer: His strategy works because to convert a mixed number to a fraction greater than 1, what he writes is correct.

Explanation: Equation Harrison says that to convert a mixed number to a fraction greater than 1: 4\(\frac{2}{5}\) = \(\frac{5}{5}\) + \(\frac{5}{5}\) + \(\frac{5}{5}\) + \(\frac{5}{5}\) + \(\frac{2}{5}\) = \(\frac{22}{5}\).

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• Grade 5 HMH Go Math - Answer Keys

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In a science experiment, a plant grew \(\large \frac{3}{4}\) inch one week and \(\large \frac{1}{2}\) inch the next week. Use a common denominator to write an equivalent fraction for each fraction.

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Lesson 3: Hands On: Model Equivalent Fractions

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McGraw Hill My Math Grade 5 Chapter 9 Lesson 5 Answer Key Add Unlike Fractions

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 9 Lesson 5 Add Unlike Fractions  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 9 Lesson 5 Add Unlike Fractions

Math in My World

Helpful Hint The least common denominator, LCD, is the least common multiple of the denominators.

Guided Practice

Add. Write each sum in simplest form.

Independent Practice

Question 4. \(\frac{1}{2}\) + \(\frac{1}{5}\) = _____ Answer: The above-given unlike fractions: 1/2 + 1/5 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 10 is the least common multiple of denominators 2 and 5. Use it to convert to equivalent fractions with this common denominator. 1/2 + 1/5 = 1 x 5/2 x 5 + 1 x 2/5 x 2 .                = 5/10 + 2/10 Here, the denominators are equal, so we can add. .                = 5 + 2/10 .                = 7/10 Therefore, \(\frac{1}{2}\) + \(\frac{1}{5}\) = 7/10

Question 5. \(\frac{5}{12}\) + \(\frac{1}{4}\) = _____ Answer: The above-given unlike fractions: 5/12 + 1/4 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 12 is the least common multiple of denominators 12 and 4. Use it to convert to equivalent fractions with this common denominator. 5/12 + 1/4 = 5 x 1/12 x 1 + 1 x 3/4 x 3 .                  = 5/12 + 3/12 Here, the denominators are equal, so we can add. .                 = 5 + 3/12 .                 = 8/12 We can reduce the fractions here. – Reduce the fraction to the lowest terms 4 is the greatest common divisor of 8 and 12. Reduce by dividing both the numerator and denominator by 4. 8/12 = 8 ÷ 4/12 ÷ 4 .        = 2/3. Therefore, \(\frac{5}{12}\) + \(\frac{1}{4}\) = 2/3.

Question 6. \(\frac{2}{3}\) + \(\frac{1}{6}\) = _____ Answer: The above-given unlike fractions: 2/3 + 1/6 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 6 is the least common multiple of denominators 3 and 6. Use it to convert to equivalent fractions with this common denominator. 2/3 + 1/6 = 2 x 2/3 x 2 + 1 x 1/6 x 1 .                = 4/6 + 1/6 Here the denominator is equal so that we can add them. .               = 4 + 1/6 .               = 5/6 Therefore, \(\frac{2}{3}\) + \(\frac{1}{6}\) = 5/6

Question 7. \(\frac{1}{2}\) + \(\frac{1}{4}\) = _____ Answer: The above-given unlike fractions: 1/2 + 1/4 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 4 is the least common multiple of denominators 2 and 4. Use it to convert to equivalent fractions with this common denominator. 1/2 + 1/4 = 1 x 2/2 x 2 + 1 x 1/4 x 1 .                = 2/4 + 1/4 Here the denominator is equal so that we can add them. .                 = 2 + 1/4 .                 = 3/4 Therefore, \(\frac{1}{2}\) + \(\frac{1}{4}\) = 3/4

Question 8. \(\frac{5}{8}\) + \(\frac{1}{16}\) = _____ Answer: The above-given unlike fractions: 5/8 + 1/16 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 16 is the least common multiple of denominators 8 and 16. Use it to convert to equivalent fractions with this common denominator. 5/8 + 1/16 = 5 x 2/8 x 2 + 1 x 1/16 x 1 .                  = 10/16 + 1/16 Here the denominator is equal so that we can add them. .                = 10 + 1/16 .                = 11/16 Therefore, \(\frac{5}{8}\) + \(\frac{1}{16}\) = 11/16

Question 9. \(\frac{3}{5}\) + \(\frac{3}{10}\) = _____ Answer: The above-given unlike fractions: 3/5 + 3/10 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 10 is the least common multiple of denominators 5 and 10. Use it to convert to equivalent fractions with this common denominator. 3/5 + 3/10 = 3 x 2/5 x 2 + 3 x 1/10 x 1 .                  = 6/10 + 3/10 Here the denominator is equal so that we can add them. .                  = 6 + 3/10 .                  = 9/10 Therefore, \(\frac{3}{5}\) + \(\frac{3}{10}\) = 9/10

Question 10. \(\frac{5}{8}\) + \(\frac{3}{16}\) = _____ Answer: The above-given unlike fractions: 5/8 + 3/16 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 16 is the least common multiple of denominators 8 and 16. Use it to convert to equivalent fractions with this common denominator. 5/8 + 3/16 = 5 x 2/8 x 2 + 3 x 1/16 x 1 .                 = 10/16 + 3/16 Here the denominator is equal so that we can add them. .                  = 10 + 3/16 .                  =13/16 Therefore, \(\frac{5}{8}\) + \(\frac{3}{16}\) = 13/16

Question 11. \(\frac{3}{5}\) + \(\frac{3}{20}\) = _____ Answer: The above-given unlike fractions: 3/5 + 3/20 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 20 is the least common multiple of denominators 5 and 20. Use it to convert to equivalent fractions with this common denominator. 3/5 + 3/20 = 3 x 4/5 x 4 + 3 x 1/20 x 1 .                 = 12/20 + 3/20 Here the denominator is equal so that we can add them. .                = 12 + 3/20 .                = 15/20 – Reduce the fraction to the lowest terms 5 is the greatest common divisor of 15 and 20. Reduce by dividing both the numerator and denominator by 5. 15/20 = 15 ÷ 5/20 ÷ 5 .          = 3/4 Therefore, \(\frac{3}{5}\) + \(\frac{3}{20}\) = 3/4

Algebra Find each unknown.

Question 12. \(\frac{7}{12}\) + \(\frac{1}{3}\) = x x = ____ Answer: The above-given unlike fractions: 7/12 + 1/3 = x we need to find out the value of x. Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 12 is the least common multiple of denominators 12 and 3. Use it to convert to equivalent fractions with this common denominator. 7/12 + 1/3 = 7 x 1/12 x 1 + 1 x 4/3 x 4 .                 = 7/12 + 4/12 Now add: (7 + 4)/12 .              = 11/12 Therefore, the value of the x is 11/12.

Question 13. \(\frac{3}{16}\) + \(\frac{3}{8}\) = \(\frac{9}{y}\) y = ____ Answer: The above-give unlike fractions: 3/16 + 3/8 = 9/y we need to find out the value of y. Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 3/16 + 3/8 = 3 x 1/16 x 1 + 3 x 2/8 x 2 .                 = 3/16 + 6/16 Now add:  (3 + 6)/16 .              = 9/16 Therefore, the value of y is 16. 9 is the numerator and the denominator is 16.

Question 14. \(\frac{3}{16}\) + \(\frac{3}{8}\) = \(\frac{9}{w}\) w = ___ Answer: The above-given unlike fractions: 3/16 + 3/8 = 9/w Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. 3/16 + 3/8 = 3 x 1/16 x 1 + 3 x 2/8 x 2 .                 = 3/16 + 6/16 Now add:  (3 + 6)/16 .              = 9/16 Therefore, the value of w is 16. 9 is the numerator and the denominator is 16.

Problem Solving

Question 16. Angel has two chores after school. She rakes leaves for \(\frac{3}{4}\) hour and spends \(\frac{1}{2}\) hour washing the car. How long does Angel spend on her chores in all? Answer: The above-given: The number of hours she spends on leaves = 3/4 The number of hours she spends on washing the car = 1/2 The total hours she spends = t t = 3/4 + 1/2 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal. t = 3 x 1/4 x 1 + 1 x 2/2 x 2 t = 3/4 + 2/4 Now denominators are equal so that we can add the fractions. t = 3 + 2/4 t = 5/4 In mixed fraction, we can write it as 1 1/4.

HOT Problems

Question 17. Mathematical PRACTICE 2 Use Number Sense Leon found the sum of \(\frac{5}{6}\) and \(\frac{2}{3}\) to be \(\frac{11}{12}\). How can you tell that his answer is incorrect without calculating? Answer: According to the above-given problem the equation is: 5/6 + 2/3 = 11/12 Here the answer is incorrect. The correct explanation is: = 5 x 1/6 x 1 + 2 x 2/3 x 2 = 5/6 + 4/6 Here the denominators are equal so that we can add. = ( 5 + 4)/6 = 9/6 Reduce the fraction to the lowest terms. 3 is the greatest common divisor of 9 and 6. Reduce by dividing both the numerator and denominator by 3. 9/6 = 9 ÷ 3/6 ÷ 3 .      = 3/2 Convert improper fractions to mixed number 3 ÷ 2 = 1 remainder 1 The mixed number is 1 1/2.

Question 19. ? Building on the Essential Question How are equivalent fractions used when adding, unlike fractions? Answer: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

McGraw Hill My Math Grade 5 Chapter 9 Lesson 5 My Homework Answer Key

Question 1. \(\frac{5}{8}\) + \(\frac{3}{10}\) = ____ Answer: The above-given unlike fractions: 5/8 + 3/10 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal.

Question 2. \(\frac{3}{5}\) + \(\frac{1}{4}\) = ____ Answer: The above-given unlike fractions: 3/5 + 1/4 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal.

Question 3. \(\frac{4}{7}\) + \(\frac{1}{8}\) = ____ Answer: The above-given unlike fractions: 4/7 + 1/8 Here the denominators are unequal, so make them equal first. Step 1: Make the denominators equal.

Question 4. Tashia ate \(\frac{1}{3}\) of a pizza, and Jay ate \(\frac{3}{8}\) of the same pizza. What fraction of the pizza was eaten? Answer: The above-given: The amount of pizza Tashia ate = 1/3 The amount of pizza Jay ate = 3/8 The fraction of pizza eaten = e e = 1/3 + 3/8 Find common denominator 24 is the least common multiple of denominators 3 and 8. Use it to convert to equivalent fractions with this common denominator. e = 1 x 8/3 x 8 + 3 x 3/8 x 3 e = 8/24 + 9/24 Now add: (8 + 9)/24 e = 17/24 Therefore, the fraction is 17/24.

Question 5. Basir took a science test on Friday. One-eighth of the questions were multiple choice, and \(\frac{3}{4}\) of the questions were true-false questions. What part of the total number of questions are either multiple-choice or true-false questions? Answer: The above-given: The number of multiple questions = 1/8 The number of true-false questions = 3/4 The part of the total number of questions = q q = 1/8 + 3/4 Find common denominator 8 is the least common multiple of denominators 8 and 4. Use it to convert to equivalent fractions with this common denominator. q = 1 x 1/8 x 1 + 3 x 2/4 x 2 q = 1/8 + 6/8 q = 7/8 Therefore, the fraction is 7/8.

Question 6. Mathematical PRACTICE 2 Use Number Sense Edison delivers \(\frac{1}{5}\) of the newspapers in the neighbourhood, and Anita delivers \(\frac{1}{2}\) of them. Together, Edison and Anita deliver what fraction of the newspapers? Answer: The newspapers delivered by Edison = 1/5 The newspapers delivered by Anita = 1/2 Together delivered = d d = 1/5 + 1/2 Find common denominator 10 is the least common multiple of denominators 5 and 2. Use it to convert to equivalent fractions with this common denominator. d = 1 x 2/5 x 2 + 1 x 5/2 x 5 d = 2/10 + 5/10 d = 2 + 5/10 d = 7/10 Therefore, together delivered 7/10 newspapers.

Test Practice

Question 8. Which expression will have the same sum as \(\frac{3}{8}\) + \(\frac{1}{4}\)? A. \(\frac{3}{8}\) + \(\frac{1}{8}\) B. (\(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\)) + \(\frac{1}{4}\) C. \(\frac{3}{4}\) + \(\frac{1}{4}\) D. (\(\frac{1}{8}\) + \(\frac{1}{8}\)) + \(\frac{1}{8}\) Answer: Option B is correct. The above-given: 3/8 + 1/4 The answer is 5/8 Now come to the options: Option A: 3/8 + 1/8 = 4/8 = 1/2 Option B: (1/8 + 1/8 + 1/8) + 1/4 3/8 + 1/4 = 5/8 Option C: 3/4 + 1/4 = 4/4 = 1 Option D: 1/8 + 1/8 + 1/8 = 3/8 Therefore, the correct answer is option B.

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