Convert Decimal to Fraction: In order to deal with problems related to arithmetic, one needs to have a proper knowledge of numbers and its types. let us see how to convert decimal to fractions. First we will recall what decimals and fractions are.
A decimal number can be easily converted into a fraction. In order to do so, one needs to count how many digits are there on the right side of the decimal. Then, remove decimal point and put the same number of zeros after 1 in the denominator. It becomes a fraction now. Simplify and find the simplest form of the fraction equivalent to given decimal number.
Steps for Decimal to Fraction
Step 1: Find out number of digits right to decimal point.
Step 2: Suppose if there are “x” digits then multiply and divide it by 1 with “x” zeros.
Step 3: Simplify the obtained fraction.
Also see: Fraction to Decimal
Decimal to Fraction Calculator
Decimal to Fraction Calculator is an online tool to convert a decimal number into equivalent fraction. It is a tool which makes calculations easy and fun. If a decimal number is given then it can easily convert it into equivalent fraction.
- Fractions
- Simplify Fractions
- Adding Fractions
- Multiplying Fractions
- Subtracting Fractions
- Dividing Fractions
- Proper Fractions
- Improper Fractions
- Mixed Fractions
- Like Fractions
- Unlike Fractions
- Fraction Calculator
- Fraction Simplifier
- Mixed Fraction Calculator
- Convert Fraction to Decimal
- Convert Decimal to Fraction
How to Use Fraction to Decimal Calculator
- Enter decimal value
- Select exact or approximate fraction values
- Now, it will display the Greatest Common Factor and simplified fraction values instantly.
How to Convert a Decimal to a Fraction
The method of how to convert a decimal to a fraction are given below:
Step 1: Count the number of digits to the right of the decimal point.
Step 2: Let us suppose the number of digits to the right of decimal be p. Then divide the number by 10p.
Example, if we have 3 digits right of decimal point. Multiply and divide the given number with 1000
Step 3: Do the simplification if needed.
The result is the equivalent fraction for the given decimal numbers.
Decimal to Fraction Chart
Below you could see the decimal to fraction chart:
| Decimal | Fraction Equivalent | Fraction in simplest form |
|---|---|---|
| 0.1 | 1/10 | 1/10 |
| 0.2 | 2/10 | 1/5 |
| 0.3 | 3/10 | 3/10 |
| 0.4 | 4/10 | 2/5 |
| 0.5 | 5/10 | 1/2 |
| 0.6 | 6/10 | 6/10 |
| 0.75 | 75/100 | 3/4 |
| 0.125 | 125/1000 | 1/8 |
| 0.625 | 625/1000 | 5/8 |
| 1.25 | 125/100 = 1 25/100 | 1 3/4 = 7/4 |
Converting Decimals to Fractions Examples
Below are examples based on converting decimals into fractions which help you to understand how to convert decimals to fractions :
Question 1: Find fraction form of the decimal 0.6
Solution:
Step 1: Given, decimal 0.6, we need to find the fraction for 0.6
Step 2:
We can also find so many equivalent fractions.
0.6 = 6/10 .
Multiply 6/10 by 2 , 6×2/10×2
= 12/20
0.6 = 6/10 = 12/20
We can find more equivalent fraction. Multiply 12/20 by 5 on both numerator and denominator.
12×5/20×5 = 60/100
0.6 = 6/10 = 12/20 = 60/100
Step 3:
Multiply and divide 0.6 by 10,
0.6 × 10/10 = 0.6∗10/10
= 6/10
0.6 as the fraction 6/10.
Correct answer is Equivalent fraction of 0.6 are 6/10 , 12/20 , 60/100
Question 2: Convert the the decimal 8.12 into fraction.
Solution:
Step 1:
We have to find the equivalent fraction of 8.12
Multiply and divide 8.12 by 100 ,
8.12 = 8.12 100/100
= 812/100
Step 2:
Multiply 812/100 by 2 on both numerator and denominator,
812/100 = 812×2/100×2
= 1624/200
Step 3:
Multiply 1624/200 by 2 on both numerator and denominator,
1624/200 = 1624×2/200×2
= 3248/400
Correct answer is Equivalent fraction of 8.12 are 812/100 , 1624/200 , 3248/400 .
Question 3: Find the equivalent fraction for the decimal number 0.34
Solution:
Step 1:
Find out number of digits right to decimal point.
The number of digits after decimal point is 2 .
Step 2:
Now multiply and divide the 0.34 with 100
= 0.34 × 100/100.
0.34* 100 multiplying it we get the result as 34
= 34/100.
Step 3:
It can be simplified further.
Now divide numerator and denominator by 2 . We get the simplified answer as
17/50.
Correct answer is 17/50
Decimal to Fraction Worksheet
- Question 1: Convert the repeating decimal 0.33333 into fraction
- Question 2: Convert the repeating decimal into fraction 0.1666667 into fraction
- Question 3: Find the equivalent fraction for the decimal number 0.25
- Question 4: Find the equivalent fraction for the decimal number 0.50
Repeating Decimal to Fraction
- Repeating decimals have a digit or a block of digits getting repeated endlessly.
- 0.333….., 0.416666…….., 0.57145714………… are repeating decimals.
- If the digits after the decimals are repeated , it is called pure recurring decimals.
- Mixed recurring decimals have mixed numbers repeating such as 0.242424….
0.25 = 1/4 and 0.5 = 1/2
But when the decimal has repeating digits, it becomes necessary to convert them into fractions by using variable x.
Repeating Decimal to Fraction Examples
Question 1: Convert 0.7777……. into fraction
Solution:
Let x = 0.7777
Step 1: multiply x by 10
Then 10x = 7.777
Step 2 subtract x from 10 x
Then 10x – x = 7.777 – 0.777
9x = 7.000
Step 3 Dividing both sides by 9 we get x = 7/9
Answer 0.7777…… = 7/9
Question 2: Convert 0.2424… to fractions.
Solution:
Let x = 0.2424
Step 1: Multiply x by 100
Then 100x = 24.2424
Step 2: Subtract x from 100x
100x – x = 24.2424 – 0.2424
99x = 24
Step 3: Divide both sides by 99
x = 24/99 which on simplification gives 8/33
Hence 0.2424…. = 8/33
Decimal to Fraction FAQs
What is decimal number?
In computers, a decimal number is a type of number that has base 10. In mathematics, a decimal number is a number that has a point or dot (.) somewhere in the number. The decimal can also define as a fraction with the denominator of 10 or multiples of 10.
What is fraction?
A certain part of the whole is called as a fraction. It has one number into another separated by a bar. The two numbers are known as numerator and denominator. The fractions can be denoted as a/b , where a, b are integers; also b ≠ 0. All integer operations can be done on fractions. There are three types of fractions in math – proper fractions, improper fractions and mixed fraction.
Convert the decimal 2.13 into fraction?
After simplifying 2.13×100/100 it will be equal to 213/100. The answer is 213/100.
Convert the decimal 0.4 into fraction.
Here given number is 0.4. So here 0.4 have 1 decimal places. The answer is 2/5.