Convert Fractions to Decimals
The simplest method is to use a calculator.
Just divide the top of the fraction by the bottom, and read off the answer!
Example : What is 5 8 as a decimal ... ?
... get your calculator and type in "5 / 8 ="
The answer should be 0.625
No Calculator? Use Long Division to Decimal Places
Example: here is what long division of 5 8 looks like:.
In that case we inserted extra zeros and did 5.000 8 to get 0.625
Read the Long Division to Decimal Places page for more details.
Another Method
Yet another method you may like is to follow these steps:.
- Step 1 : Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s .
- Step 2 : Multiply both top and bottom by that number.
- Step 3 . Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
Example: Convert 3 4 to a Decimal
Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25:
| = | ||
Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);
Answer = 0.75
Example: Convert 3 16 to a Decimal
Step 1: We have to multiply 16 by 625 to become 10,000
Step 2: Multiply top and bottom by 625:
Step 3: Write down 1875 with the decimal point 4 spaces from the right (because 10,000 has 4 zeros);
Answer = 0.1875
Example: Convert 1 3 to a Decimal
Step 1: There is no way to multiply 3 to become 10 or 100 or any "1 followed by 0s", but we can calculate an approximate decimal by choosing to multiply by, say, 333
Step 2: Multiply top and bottom by 333:
Step 3: Now, 999 is nearly 1,000 , so let us write down 333 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros):
Answer = 0.333 (accurate to only 3 decimal places!)
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Fractions, decimals & mixed numbers.
These grade 5 math worksheets give students practice in converting between fractions, decimals and mixed numbers .
| 0.26 = | |
| 0.48 = | |
| 1.37 = | |
| 14/100 = | |
| 9 9/10 = | |
| 135 / 1000 = | |
| 3/5 = | |
| 9 3/5 = | |
| 12 / 13 = | |
Sample Grade 5 Fractions to / from Decimals Worksheet
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Convert Fractions to Decimal Support Page
Welcome to our Convert Fractions to Decimal support page.
Here you will find information and support about how to convert a fraction into a decimal.
We have several worked examples as well as a link to our fraction to decimal calculator and a practice sheet.
For full functionality of this site it is necessary to enable JavaScript.
Here are the instructions how to enable JavaScript in your web browser .
- Fraction to Decimal Calculator
Our fraction to decimal calculator will convert any fractions to a decimal and you can choose what degree of accuracy you wish.
Converting Fractions to Decimals
To convert a fraction to a decimal, you need to understand that the fraction sign — and the division sign ÷ are actually the same!
So in other words: \[ {a \over b} \; = \; a ÷ b \]
If you use a calculator, it is quite easy to convert a fraction into a decimal. If you do not have a calculator, you can still convert a fraction into a decimal using long (or short) division.
How to convert a fraction to a decimal
- Take the numerator of the fraction and divide it by the denominator .
- Your calculator will now display the fraction as a decimal.
Converting a Fraction to a Decimal Examples
Example 1) change into a decimal the fraction: \[ {3 \over 8} \].
We calculate 3 ÷ 8 = 0.375
So we have: \[ { 3 \over 8 } \; = \; 0.375 \]
Example 2) Convert into a decimal the fraction \[ {9 \over 20} \]
We calculate 9 ÷ 20 = 0.45
This gives us: \[ { 9 \over 20 } \; = \; 0.45 \]
Example 3) Convert into a decimal the fraction \[ 4 {1 \over 5} \]
We calculate 1 ÷ 5 = 0.2
This gives us: \[ 4 { 1 \over 5 } \; = \; 4 + 0.2 \; = \; 4.2 \]
Example 4) Convert into a decimal the fraction \[ {13 \over 4} \]
We calculate 13 ÷ 4 = 3.25
This gives us: \[ { 13 \over 4 } \; = \; 3.25 \]
Convert Fractions to Decimals printable sheets
If you would like to a printable version of this support sheet in a little more detail, please print out the support sheet below which also contains a short practice exercise on converting fractions to decimals.
- Convert Fractions to Decimal Sheet
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Converting decimals to fractions.
Here you will find some simple information and advice about how to convert a decimal to a fraction. Before you learn how to do this, you should also know about simplifying fractions.
You will also find a printable resource sheet and some practice sheets which will help you understand and practice this math skill.
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Fraction to decimal.
Converting fractions to decimals is to write a decimal as a fraction in the simplest form. In other words, we change a decimal to p/q form, where q is non-zero. Here we will discuss the ways to convert fractions to decimals.
Fraction to Decimal Chart
We can use a fraction to decimal conversion chart in order to memorize some commonly used fractions. A printable conversion chart is given below for your use.
How to Convert Fraction to Decimal
With calculator.
The easiest way to turn any fraction to decimal is to use an electronic calculator . We type the fraction in p/q form and find the result on the screen of the calculator. For example, if we need to find the decimal for ${\dfrac{16}{19}}$, we will press the buttons in the following sequence :
We get the result ‘0.8421…’ The result is a non-terminating decimal as the remainders are never zero.
With Long Division
As we have learned the basic steps for dividing decimals , we will apply the same while converting a fraction into a decimal.
Let us solve some examples.
Change the fraction 4/5 to a decimal.
∴ Fraction 4/5 to decimal is 0.8
Change the fraction 8/50 to a decimal.
∴ Fraction 8/50 to decimal is 0.16
Change the fraction 4/13 to a decimal.
Change the fraction 20/13 to a decimal.
Alternative Method
We can apply another way to change a decimal to fraction. The steps are:
- Find a number to multiply with the denominator to change it to 10, or 100, or 1000, or a 1 followed by zero(s). (if its 5, we multiply it with 2 to make it 10, if its 25, we multiply with 4 to make it 100). Apply it on numbers that can be easily changed to multiples of 10.
- Multiply both the numerator and denominator with that number.
- Then write the top number, and put the decimal point in the correct place (one place from the digit to the extreme right for every zero in the denominator. For 653/10, it will be 65.3, and for 653/100, it will be 6.53)]
For example, ${\dfrac{3}{4}}$ ${=\dfrac{3\times 25}{4\times 25}=\dfrac{75}{100}=7.5}$
Express ${\dfrac{3}{16}}$ as decimal.
We try to change 16 to 100. So we divide 100 by 16 and get 6.25 ${\therefore \dfrac{3\times .6\cdot 25}{16\times 6\cdot 25}}$, multiplying both top and bottom with 6.25, = ${\dfrac{18.75}{100}}$ = 0.1875
Convert ${\dfrac{2}{3}}$
There is no way we can change 3 to 10. So we try to make it close to 10 or 100. But, we can calculate the approximate decimal. So we will change the bottom number close to 1000. ${\dfrac{2\times 333}{3\times 333}=\dfrac{666}{999}}$ We will assume 999 as 1,000. So we will put the decimal place accordingly. ${\cong \dfrac{666}{1000}}$ = 0.666
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Converting Fractions into Decimals – Methods, Facts, Examples
What is fractions-to-decimals conversion, how to convert fractions into decimals, when do fractions turn into terminating and repeating decimals, solved examples on converting fractions into decimals, practice problems on converting fractions into decimals, frequently asked questions about converting fractions into decimals.
Converting a fraction into its equivalent decimal form is known as fraction-to-decimal conversion. Converting fractions to decimals allows for more accurate and precise mathematical calculations.
Fraction to a decimal formula is given as a ÷ b, where a is the numerator and b is the denominator of the fraction. In simple words, to turn fractions into decimals, we simply divide the numerator by the denominator.
In this conversion, you express a fraction as a decimal number with a whole number part and a decimal part.
Example: When you convert the fraction $\frac{3}{4}$ to a decimal, you get 0.75. Here, 0 is the whole number part, and 0.75 is the decimal part.
There’s no specific fraction-to-decimal formula for conversion. Let’s learn two ways to turn fractions into decimals:
1. Long division method
2. By converting the denominator of the fraction into a power of 10
How to Convert Fractions into Decimals Using the Long Division Method
In this method, we treat the numerator as a dividend and the denominator as the divisor . We carry out the long division till we get 0 as the remainder or at least three decimal places in the quotient. Using the long division method, let’s take examples to understand how to convert a fraction into a decimal.
Example 1: Find the decimal form of the fraction $\frac{7}{5}$ using the long division method.
Example 2: Find the decimal form of the fraction $\frac{3}{5}$ using the long division method.
Example 3: Convert $\frac{2}{11}$ into a decimal.
How to Convert Fractions into Decimals by Changing the Denominator into a Power of 10
In this method, we multiply both the numerator and denominator by an appropriate number such that the denominator changes into a power of 10. Simply put, we try to convert the fraction into a decimal fraction. A fraction whose denominator is a power of 10 can be easily converted into a decimal by simply moving the decimal point.
Note:
- When we multiply both the numerator and denominator by the same number, we are not changing the value of the fraction. We are just finding the equivalent fraction with the denominator as a power of 10.
- This method is perfect for fractions whose denominator can be changed into a power of 10. For fractions like $\frac{3}{7}$ or $\frac{1}{3}$ , this method is not suitable.
Example 1: Convert $\frac{4}{5}$ into a decimal.
Numerator $= 4$
Denominator $= 5$
Think of a number by which we can multiply 5 to turn it into a power of 10.
5 times 2 is 10.
$5 \times 2 = 10$
Thus, multiply the numerator and denominator by 2.
$\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} = 0.8$
Example 2: Find the decimal form of the fraction $\frac{3}{8}$ .
Numerator $= 3$
Denominator $= 8$
We know that $8 \times 125 = 1000$
Thus, multiply the numerator and denominator by 125.
$\frac{3}{8} = \frac{3 \times 125}{8 \times 125} = \frac{375}{1000} = 0.375$
Related Worksheets
Fraction-to-Decimal Chart
The Fraction to Decimal chart simplifies the conversion by displaying common fractions and their decimal equivalents.
- In proper fractions, the numerator is less than the denominator. Thus, the resulting decimals are also less than 1.
- In improper fractions, the numerator is greater than or equal to the denominator. Thus, the resulting decimals are greater than or equal to 1.
Let’s convert some common fractions to decimals and list them in a chart.
| $\frac{1}{2}$ | 0.5 |
| $\frac{1}{3}$ | $0.\overline{3} = 0.333$… |
| $\frac{1}{4}$ | 0.25 |
| $\frac{1}{5}$ | 0.2 |
| $\frac{1}{6}$ | 0.16 |
| $\frac{1}{8}$ | 0.125 |
| $\frac{1}{10}$ | 0.1 |
| $\frac{1}{100}$ | 0.01 |
| $\frac{3}{7}$ | $0.\overline{428571}$ |
| $\frac{3}{2}$ | 1.5 |
| $\frac{3}{4}$ | 0.75 |
| $\frac{4}{3}$ | 1.33… |
- If the denominator of the fraction in its lowest form has the prime factorization consisting only of 2s and/or 5s, then the fraction results in a terminating decimal.
Example: $\frac{7}{16}$
The fraction is already in its lowest form.
Denominator $= 16 = 2 \times 2 \times 2 \times 2$
The prime factorization of the denominator only contains 2s.
$\frac{7}{16} = \frac{7 \times 625}{16 \times 625} = \frac{4375}{10,000} = 0.4375$ …terminating decimal
- If the denominator of the fraction in its lowest form has the prime factorization consisting of factors other than 2s and 5s, then the fraction results in a repeating decimal.
Example : $\frac{10}{24}$
$\frac{10}{24}$ in lowest form $= \frac{5}{12}$
Denominator $= 12 = 2 \times 2 \times 3$
The prime factorization of the denominator has 2s and 3s.
$\frac{10}{24} = \frac{5}{12} = 0.416$ …repeating decimal
Alt tag: Converting 5/12 into a decimal
Facts about Converting Fractions into Decimals
- Reducing fractions to the lowest terms simplifies division by making numbers smaller and more manageable.
- Fraction-to-decimal conversion involves expressing a fraction as a decimal number.
- Proper fractions always result in decimal values less than 1.
- Improper fractions can give decimal values equal to or greater than 1.
- The decimal value of a fraction is determined by dividing the numerator by the denominator.
- Some fractions, when converted into decimals, result in repeating or recurring decimals.
- Equivalent fractions have the same decimal representation.
In this article, we learned about the fraction-to-decimal conversion with two methods and several examples. Let’s take a look at a few more solved examples and practice problems for better comprehension.
Example 1: Convert $\frac{2}{5}$ into decimal form using the long division method.
$\frac{2}{5}$
To convert $\frac{2}{5}$ to a decimal, divide the numerator 2 by the denominator 5.
$\frac{2}{5} = 0.4$
Example 2: Find the decimal form of $\frac{9}{25}$ .
Numerator $= 9$
Denominator $= 25$
We know that “25 times 4 is 100.”
Thus, multiply both the numerator and the denominator by 4.
$\frac{9}{25} = \frac{9 \times 4}{25 \times 4 = \frac{36}{100} = 0.36$
Thus, $\frac{9}{25} = 0.36$
Example 3. Compare $\frac{11}{20}$ and 0.5.
Let’s convert $\frac{11}{20}$ into a decimal form to compare it with 0.5 easily.
To convert $\frac{11}{20}$ to a decimal, multiply both the numerator and the denominator by 5.
$\frac{11}{20} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100} = 0.55$
We know that 0.5 < 0.55
Thus, 0.5 < 11 20 .
Converting Fractions into Decimals - Methods, Facts, Examples
Attend this quiz & Test your knowledge.
Which of the following fractions has a decimal equivalent of 0.6?
What is the decimal equivalent of the fraction $\frac{5}{8}$, to convert a fraction into a decimal,, a proper fraction always results in a decimal, what is the decimal equivalent of the fraction $\frac{7}{10}$.
What is a terminating decimal?
A terminating decimal is a decimal number that ends or terminates after a finite number of decimal places. For example, $\frac{1}{5} = 0.2$ is a terminating decimal.
What is a repeating decimal?
A recurring decimal is a non-terminating decimal with a non-zero digit or sequence repeating repeatedly without ever ending. For example, $\frac{1}{6} = 0.1666$… has the repeating digit “6.”
Can all fractions be converted into decimals?
Yes, all fractions can be converted to decimals.
What is the relationship between fractions and decimals?
Fractions and decimals are two different ways to represent the parts of a whole.
Are all fractions rational numbers?
Yes, all fractions are rational numbers.
RELATED POSTS
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- Denominator – Definition, Examples, Facts, FAQs
- Adding Fractions – Definition With Examples
- Addition and Subtraction of Fraction: Methods, Examples, Facts, FAQs
- Convert Decimal to Fraction: Definition with Examples
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Fraction to decimal
The simplest way to convert a fraction to a decimal would be using a calculator if it is available and entering the division problem. Otherwise, we can perform long division, or in some cases use strategies involving equivalent fractions and estimation.
Using long division
Since fractions are essentially division problems, long division can be used to convert fractions to decimals. In a fraction, the numerator is the dividend and the denominator is the divisor .
This is a relatively simple example where the fraction is a terminating decimal. The process remains the same for other fractions, but some may be significantly more tedious, or may exhibit a repeating pattern.
Unfortunately, there are no particularly easy manual methods of division that can be applied to all fractions, and for fractions that don't quite work out as nicely as the one above, converting the fraction to a decimal by hand is very tedious. In some cases though, the method below can be used to quickly convert fractions to decimals.
Using equivalent fractions and estimation
One way to convert fractions to decimals is to express the fraction in terms of an equivalent fraction where the denominator is a power of 10. The reason for this is because decimals are a numeration system based on powers of 10. If we can express a fraction with a denominator that is a power of 10, it makes it relatively easy for us to convert the fraction to a decimal.
In fractions,
is equivalent to
0.1, 0.01, 0.001, 0.0001...
in decimals, respectively. These are read as one tenth, one hundredth, one thousandth, one ten-thousandth, and so on.
So, to convert a fraction to a decimal:
- Multiply the numerator and denominator of the fraction by a number that makes the denominator a power of 10
- Count the number of 0s in the power of 10 in the denominator; the number of 0s will be referred to as n
- Count n decimal spaces from the right-most digit of the numerator, where each digit represents one decimal place, then write a decimal point; if n is greater than the number of digits in the numerator, write a 0 in the empty decimal place
There is one 0 in 10, so n = 1
There are four 0s in 10000, so n = 4
In the examples above, the fractions have equivalent fractions that have denominators exactly equal to powers of 10. There are many fractions where this is not the case, and for these fractions, the above method of conversion cannot be used. In some cases though, we may be able to estimate a decimal value using this method depending how exact we need the answer to be. We can do this by forming an equivalent fraction where the denominator is close to a power of 10.
327 cannot be multiplied by an integer to equal a power of 10, but 327 × 3 = 981, which is relatively close to 1000, so we can estimate the fraction as:
Since 981 percent error between this value and our estimate is:
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How to Turn a Fraction into a Decimal
Last Updated: February 26, 2024 Fact Checked
- Using Long Division
- Using Powers of 10
Understanding Fractions and Decimals
Practice problems and answers.
This article was co-authored by Grace Imson, MA and by wikiHow staff writer, Cheyenne Main . Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 507,579 times.
Although they might seem intimidating at first, fractions and decimals are just two different ways of representing any number that’s less than 1. Fractions can be easily converted into their decimal form by dividing the number at the top (the numerator) by the number at the bottom (the denominator). If you don’t have a calculator on you, you can use long division to quickly figure out your answer. Whether you’re just starting out or you’d just like a quick refresher, this article covers all you need to know about converting fractions to decimals. Let’s dive in!
Things You Should Know
- To convert a fraction to a decimal, divide the numerator, or the top number in the fraction, by the denominator, which is the bottom number in the fraction.
- To use long division, place your denominator on the outside of the box and your numerator inside the box, then divide.
- For denominators that are factors of 10 (like 100 or 1,000), move the decimal to the left of the numerator as many places as you have zeros in the denominator.
Easiest Way to Convert Fractions
- Round the answer as needed to the nearest hundredth or thousandth decimal place. The hundredth place is 2 places to the right of the decimal, and the thousandth place is 3 places to the right of the decimal. [2] X Research source
Converting Fractions to Decimals Using Long Division
- Final answer: 0.375
- Final answer: 0.333333 repeating
- Final answer: 6.75
- If the number you’re rounding from is a 5 or higher, round up. If your number is 4 or lower, round down.
Converting Fractions to Decimals Using Powers of 10
- For example, a pizza might be cut into 8 slices. The denominator for the pizza would then be 8.
Community Q&A
You Might Also Like
- ↑ https://www.purplemath.com/modules/percents2.htm
- ↑ https://edu.gcfglobal.org/en/multiplicationdivision/long-division/1/
- ↑ https://www.greenemath.com/Prealgebra/39/DecimalDefinitionLesson.html
- ↑ https://www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP-1-8_RESOURCE/U02_L1_T1_text_final.html
- ↑ https://www.cuemath.com/numbers/decimals/
About This Article
To convert fractions to decimals, look at the fraction as a division problem. Take the top number, or the numerator, of the fraction and divide it by the bottom number, or the denominator. You can do this in your head, by using a calculator, or by doing long division. For example, ¼ is just 1 divided by 4, or 0.25. After you divide, you can check your work by multiplying the decimal by the denominator to get the numerator. To learn how to convert fractions to decimals using power of 10 denominators, keep reading! Did this summary help you? Yes No
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Fraction to Decimal
The fraction to decimal conversion can be defined as the process of converting a number represented in form of p/q, where p and q belong to whole numbers and q is not equal to 0 into a decimal form by either converting the denominator to a power of 10 or by long division method. Let us learn different ways of converting fractions to decimals in this article.
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Convert Fraction to Decimal
Any number which is represented in a fraction form is divided into two parts i.e., numerator and denominator. Generally, to convert a number from fraction to decimal form we divide the numerator by the denominator. Fractions are represented in the form of p/q, where q≠0. While the decimal numbers are formed by connecting the whole number part and fractional part through a decimal point, for example, 7.575. Let us explore some more illustrations to understand the fraction to decimal conversion in detail.
Fraction to Decimal Conversion
Here is a real-life example to understand fraction to decimal conversion. Emma divides her cardboard into 12 equal parts. She painted the flowers of different colors on each part of the cardboard. Amongst the 12 slots, she reserved 5 equal portions for red color flowers, 3 portions for green color flowers, and 4 for orange color flowers. Let us write the portion given to flowers of each color in a fraction as well as in decimal form.
- Red color flowers are painted in the 5/12 or 0.4166 part of the cardboard.
- Green color flowers are painted in the 3/12 or 0.25 part of the cardboard.
- Orange color flowers are also painted in the 4/12 or 0.333 part of the cardboard.
Let us look at the fraction and decimal representation given in the chart below to have more clarity about the fraction to decimal conversion.
Let us now understand how to convert fraction to decimal using different methods.
How to Convert Fraction to Decimal?
There are two methods to convert fraction to decimal which are given below:
- Long division method
- By converting the denominator of the fraction into a power of 10
Convert Fraction to Decimal by Long Division Method
When a number is present in a fraction form i.e., p/q, we use the long division method to convert it into a decimal form. In such a case we divide the numerator by the denominator. Let us understand the steps involved in fraction to decimal conversion by the long division method with the help of an example.
Convert 4/19 to decimal.
- Step 1: In the given fraction 4/19, consider the numerator 4 as a dividend and the denominator 19 as the divisor . In this case, the denominator > numerator.
- Step 2: We have to make the dividend digit (4) greater than the numerator digit (19) by placing 0 next to 4 and to the quotient respectively. Now we have 40 as a new dividend. (40>19)
- Step 3: In the quotient part, it is important to insert decimal (.) after 0 and start the division.
- Step 4: Multiply 19 with a number so that the product is less than or equal to 40. We know that 19 times 2 is 38. The digit that appeared in the quotient is 2, and the remainder left is 2. After introducing decimal in the quotient we can introduce one 0 at each step of division.
- Step 5: Now the new dividend is 20. Multiply 19 with a number so that the product is less than or equal to 20. 19 times 1 is 19. Now the new digit in the quotient is 1 which makes it 0.21, and the remainder is 1.
- Step 6: Repeat the steps till we get 0 as the remainder or at least three decimal places in the quotient.
Try to read out the steps with the image given below for having a better understanding of converting fractions to decimals.
In the next section, let us discuss another method of the fraction to decimal conversion that is by converting the denominator into a power of 10.
Convert Fraction to Decimal by Changing the Denominator
Another method to convert the fraction to a decimal is by converting the denominator of the fraction to powers of 10 like 10, 100, 1000, etc. Following are the steps showing the procedure of the conversion of fractions to decimals by converting the denominator method.
Example: Convert 7/8 to decimals.
- Step 1: Firstly we have to think of a number by which we can multiply the denominator and numerator so that we can get a power of 10 in the denominator.
- Step 2: Here, the denominator is 8. (8 times 125 is 1000)
- Step 3: Now multiply the numerator and denominator with the same number, i.e., 125.
- Step 4: By multiplying the numerator of the fraction by 125, we get 7 × 125 = 875.
- Step 5: After completing the multiplication process we have a denominator in terms of the power of 10, i.e. 875/1000.
- Step 6: Insert a decimal point before the number of places equal to zeros in the denominator. Here, we have 3 zeros in the denominator, so we add the decimal point before three places counting from the right side. Thus, we get, 875/1000 = 0.875.
Note that this method is applicable only for the fractions whose denominator can be multiplied with a number to get a power of 10. For denominators that cannot be written as a power of 10, for example, 2/3, it is always better to use the long division method explained above.
Fraction to Decimal Chart
Fraction to decimal chart is a direct approach to get the converted values easily. The chart gives us the values of some most commonly used fractions in terms of decimals and vice-versa. Fractions can be less than or greater than 1. Fractions that are less than 1 have a numerator < denominator. They are called proper fractions . The decimal values of proper fractions are always less than 1. Fractions that have a numerator ≥ denominator are called improper fractions . They have decimal values of 1 or more. Let us have more clarity about how the numbers will look like when we convert fractions to decimal form using the fraction to decimal chart given below:
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/4 | 0.25 |
| 1/5 | 0.2 |
| 1/6 | 0.16 |
| 1/8 | 0.125 |
| 1/10 | 0.1 |
| 3/2 | 1.5 |
| 5/2 | 2.5 |
| 3/4 | 0.75 |
| 5/3 | 1.66 |
Check out this article on Fraction to Decimal Chart for an in-depth understanding.
Fraction to Decimal Calculator
Check our fraction to decimal calculator and try a few conversions at your end. It is a free online tool that calculates the decimal form of a given fraction. This free online fraction to decimal calculator helps you to calculate the decimal value of fractions within a few seconds.
☛ Related Articles
Given below is the list of topics that are closely connected to fraction to decimal conversion.
- Relationship Between Fractions and Decimals
- Convert Decimal to Fraction
- Fraction to Percent
- Percent to Fraction
Fraction to Decimal Examples
Example 1. Convert the following fraction to decimal. a) 77/80 b) 12/16 c) 13/8
a) To convert 77/80 we will divide the numerator by the denominator. On dividing 77 by 80, we get ⇒ 77/80 = 0.9625. b) To convert 12/16 into decimal, we will divide the numerator 12 by the denominator 16. On dividing 12 by 16, we get ⇒ 12/16 = 0.75. c) On converting 13/8 into decimal, we get ⇒ 13/8 = 1.625.
Example 2. Ron bought 150 bananas from a nearby fruit vendor but later found out that 50 of them were rotten. Can you tell the fraction and the decimal value of the rotten bananas to the total bananas bought by Ron?
Number of bananas = 150 Number of rotten bananas = 50 So, the fraction of rotten bananas = 50/150 = 1/3. To convert the fraction to decimal in this case, we will divide the numerator by the denominator. Divide 1 by 3. Thus, after division, we get, 1/3 = 0.333 ∴ The ratio of rotten bananas to fresh bananas in decimal form is 0.333.
Example 3: There are 80 cookies in a basket. 73 are choco chips cookies and the remaining are basic cookies. What fraction of the cookies are basic? Using fraction to decimal calculator write your answer in decimal.
Total number of cookies = 80 Number of choco chips cookies = 73 Number of basic cookies = 80 - 73 = 7 basic cookies ∴ The fraction of basic cookies is 7/80. Now, we have to convert 7/80 into decimal. To convert 7/80 into decimal, we multiply both numerator and denominator by 125 to get a power of 10 in the denominator. = (7 × 125)/(80 × 125) = 875/10000 =0.0875 ∴ 0.0875 or 7/80 cookies in the lot are basic.
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Practice Questions on Fraction to Decimal
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FAQs on Fraction to Decimal
What is the fraction to decimal conversion in math.
Fraction to decimal in math is referred to as a procedure that we generally use to convert the fraction value to decimal value. While converting a fraction to a decimal, we divide the parts of fractions, i.e., the numerator is divided by the denominator. Decimal gives a more precise value as compared to fractions.
What is the Formula to Convert Fraction to Decimal?
The formula to convert a fraction to a decimal is given as "a ÷ b", where a is the numerator and b is the denominator of the fraction. In other words, the fraction to decimal formula states that we just need to divide the numerator by denominator to get the decimal equivalent of the fraction.
How to Convert a Fraction to a Decimal?
To convert a fraction to a decimal, we need to follow the steps given below.
- The numerator of the fraction will be treated as a dividend and the denominator as the divisor.
- If the numerator is less than the denominator add a decimal (point) along with 0 after the dividend.
- Perform the division .
- If the remainder keeps recurring, then the decimal can be stopped after a certain number of decimal places.
- For example, converting 4/5 to decimal gives 0.8.
What is the Result of Converting 22/7 Fraction to Decimal?
22/7 is an irrational number with 22 as the numerator and 7 as the denominator. On converting 22/7 into decimals, we get 3.14 up to two decimal places. It is a non-terminating non-repeating decimal number that extends up to infinity.
How to Convert 2/3 into Decimal Using the Fraction to Decimal Chart?
Using the fraction to decimal chart, the value of 2/3 is 0.666. To find the decimal value of 2/3 we perform the division operation until the remainder is 0 or up to 3-4 decimal places.
What Method is Used to Convert a Fraction to a Decimal?
There are two methods to convert a fraction to decimal form which are - division method and the method of changing the denominator to a power of 10.
How to Convert a Mixed Fraction to Decimal?
To convert a mixed fraction to a decimal , we first need to convert it into an improper fraction. Then divide the numerator by denominator to convert it into decimal form.
What is the Fraction to Decimal Conversion Chart?
A fraction to decimal conversion chart or table is a quick representation of decimal values of some commonly used fractions. For example, by using this chart, we can easily identify that 1/2 is the same as 0.5, 1/4 is the same as 0.25, and so on.
What is the Easiest Way to Convert a Fraction to a Decimal?
The easiest way to convert a fraction to a decimal is the division method. In this, we have to divide the numerator by the denominator of the fraction to get its decimal equivalent in the quotient.
What are the Steps to Convert a Fraction to a Decimal?
The steps to convert a fraction to decimal are given below:
- Step 1: Divide the numerator by the denominator.
- Step 2: Stop the division process when you get 0 in the remainder or three decimal places in the quotient.
- Step 3: The value obtained in the quotient will be our final answer in decimals.
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| → → Fraction/decimal Here you'll find an unlimited supply of worksheets for converting fractions to decimals or decimals to fractionsm both in PDF and html formats. The problems are created . All of the worksheets come with an on the 2nd page of the file. The worksheets are : you can choose the number of decimal digits used, the types of denominators (easy, powers of ten, or random), and whether to include improprer fractions and mixed numbers or not. You can also control the amount of workspace, the font, font size, the border around the problems, and additional instructions. The worksheets can be generated either . The html worksheet can be printed directly from your browser or saved onto your computer or device using the "Save as" command from your browser. If the problems on the worksheet don't fit the page, in html format you can scale the page to fit or print it as 90-95%. Other possibilities include choosing a smaller font size, fewer problems, less workspace, or less cellpadding.
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Fraction to decimal with rounding . Video 2 minutes 17 seconds 2:17. Worked example: Converting a fraction (7/8) to a decimal . Video 1 minute 33 seconds 1:33. Fraction to decimal: 11/25 . Video 9 minutes 22 seconds 9:22. Rewriting tricky fractions to decimals . Report a problem.
Step 1: There is no way to multiply 3 to become 10 or 100 or any "1 followed by 0s", but we can calculate an approximate decimal by choosing to multiply by, say, 333. Step 2: Multiply top and bottom by 333: Step 3: Now, 999 is nearly 1,000, so let us write down 333 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros ...
Decimals to fractions: Decimals to fractions: 0.26 = Decimals to fractions with simplifying: 0.48 = Decimals to mixed numbers (tenths/hundredths) 1.37 = Fractions to decimals: Fractions to decimals (denominator 10, 100) 14/100 = Mixed numbers to decimals (10, 100) 9 9/10 = Fractions and mixed numbers (10, 100, 1000) 135 / 1000 =
The fraction 1 / 4 becomes 1 ÷ 4. Complete the division to convert the fraction to a decimal. You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75. Using long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, might make the problem easier.
To convert a fraction to a decimal, you need to understand that the fraction sign — and the division sign ÷ are actually the same! So in other words: a b = a ÷ b. If you use a calculator, it is quite easy to convert a fraction into a decimal. If you do not have a calculator, you can still convert a fraction into a decimal using long (or ...
As we have learned the basic steps for dividing decimals, we will apply the same while converting a fraction into a decimal. Let us solve some examples. Change the fraction 4/5 to a decimal. Solution: ∴ Fraction 4/5 to decimal is 0.8. Change the fraction 8/50 to a decimal.
Example 1: Convert 4 5 into a decimal. Numerator = 4. Denominator = 5. Think of a number by which we can multiply 5 to turn it into a power of 10. 5 times 2 is 10. 5 × 2 = 10. Thus, multiply the numerator and denominator by 2. 4 5 = 4 × 2 5 × 2 = 8 10 = 0.8. Example 2: Find the decimal form of the fraction 3 8.
The Corbettmaths Practice Questions on Decimals and Fractions. Previous: Decimal and Percentages Practice Questions
And let's add some trailing 0's for the decimal point here. So 9 goes into 17 one time. 1 times 9 is 9. 17 minus 9 is 8. Bring down a 0. 9 goes into 80-- well, we know that 9 times 9 is 81, so it has to go into it only eight times because it can't go into it nine times. 8 times 9 is 72. 80 minus 72 is 8.
Fraction to decimal. There are a number of ways to convert fractions to decimals. A fraction can be read as a division problem where the numerator is divided by the denominator; can be read as "four divided by five," where normally it would be read as "four fifths", or maybe "four over five." The simplest way to convert a fraction to a decimal would be using a calculator if it is available and ...
To convert fractions to decimals, look at the fraction as a division problem. Take the top number, or the numerator, of the fraction and divide it by the bottom number, or the denominator. You can do this in your head, by using a calculator, or by doing long division. For example, ¼ is just 1 divided by 4, or 0.25.
Convert 4/19 to decimal. Step 1: In the given fraction 4/19, consider the numerator 4 as a dividend and the denominator 19 as the divisor. In this case, the denominator > numerator. Step 2: We have to make the dividend digit (4) greater than the numerator digit (19) by placing 0 next to 4 and to the quotient respectively.
1.) By Using a Calculator. The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. For example, to convert the fraction 7/8 to a decimal ...
Here you'll find an unlimited supply of worksheets for converting fractions to decimals or decimals to fractionsm both in PDF and html formats. The problems are created randomly. All of the worksheets come with an answer key on the 2nd page of the file. The worksheets are very customizable: you can choose the number of decimal digits used, the ...
We'll also solve interesting word problems involving percentages (discounts, taxes, and tip calculations). ... Converting fractions to decimals Get 3 of 4 questions to level up! Order rational numbers Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 320 Mastery points Start quiz.
Example Problem 1- Solve Word Problems by Converting Fractions into Decimals Jeremy worked 4 shifts at Little Andy's Ice Cream Shop last week. He had two shifts that were each 6 hours long.
Doughnut Percents. Age 7 to 14. Challenge Level. A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
With denominator=100, take 56.0 and move the decimal two places to the left to get 0.56. Make the denominator 100 by multiplying the numerator and denominator by 4. With denominator=100, take 4.0 and move the decimal two places to the left to get 0.04. Find the decimal equivalent to the fraction. Example: 1/2 = .5.
Write fractions as decimals (denominators of 10 & 100) 4 questions. Practice. Write decimals and fractions shown on grids. 4 questions. Practice. Write decimals as fractions. ... Adding and subtracting decimals word problems. Start quiz. Multiplying decimals. Learn. Intro to multiplying decimals (Opens a modal) Multiplying decimals: place value
It can be expressed as a decimal like 32/10=3.2,56/100=0.56. We can perform all arithmetic operations on fractions by expressing them as a decimal. Let's practice some word problems on decimal fractions by using various arithmetical operations. Example 1: A barrel has 56.32 liters capacity. If Supriya used 21.19 liters how much water is left ...
Fractions, Decimals and Percentages - Short Problems. This is part of our collection of Short Problems. You may also be interested in our longer problems on Fractions, Decimals and Percentages. Printable worksheets containing selections of these problems are available here.
Course: 4th grade > Unit 10. Lesson 7: Writing decimals as fractions. Rewriting decimals as fractions: 0.8. Rewriting decimals as fractions: 0.15. Rewriting decimals as fractions: 0.36. Rewriting decimals as fractions: 2.75. Write decimals as fractions. Writing decimals as fractions review.
The graphic below summarizes procedures to add, subtract, multiply, or divide fractions, including mixed numbers. Given problem situations, the student will use addition, subtraction, multiplication, and division to solve problems involving positive and negative fractions and decimals.