Decimal to Fraction Calculator

Enter a decimal number:
Whole . Decimal:
Remember for later
Just the decimal:
GCF(5,10)
As a decimal fraction:
simple fraction
Simplified:
As a Mixed Fraction:
As a Improper Fraction:

Number conversion

Decimal to Fraction Converter

If you want to convert Decimal to Fraction for your maths class. These types of calculations are we can learn on 5th to 10th standards. If you are studying in 5th to 10th class and you don’t know how to convert your decimal number to fraction number. You want to learn about decimal and fraction.

Decimal to Fraction Converter

How to Convert Decimal to Fraction?

Here you can see simple steps for converting decimal numbers to fraction.

Step 1:

Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).

Step 2:

Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10x.

Step 3:

Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF.

Step 4:

Simplify the remaining fraction to a mixed number fraction if possible.

See More: Hexadecimal to Decimal

Example: Convert 0.35 to a fraction

Step 1:

Write down 0.35 divided by 1:

0.35
1
Step 2:

Multiply numerator and denominator by 102 = 100 to eliminate 2 decimal places

0.35
1
×
100
100
=
35
100
Step 3:

Find the Greatest Common Factor (GCF) of 35 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5

35/5
100/5
=
7
20
Ans
=
7
20
Note: 35/100 is called a decimal fraction and 7/20 is called a common fraction !

Example: Convert 0.625 to a fraction

Step 1:

Write down 0.625 divided by 1:

0.625
1
Step 2:

Multiply numerator and denominator by 103 = 1000 to eliminate 3 decimal places

0.625
1
×
1000
1000
=
625
1000
Step 3:

Find the Greatest Common Factor (GCF) of 625 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

625/125
1000/125
=
5
8
Ans
=
5
8
Note: 625/1000 is called a decimal fraction and 5/8 is called a common fraction !

Example: Convert 3.5 to a fraction

Put the 3 aside and just work on 0.5

Step 1:

Write down 0.5 divided by 1:

0.5
1
Step 2:

Multiply numerator and denominator by 101 = 10 to eliminate 1 decimal places

0.5
1
×
10
10
=
5
10
Step 3:

Find the Greatest Common Factor (GCF) of 5 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5

5/5
10/5
=
1
2

Bring back the 3 (to make a mixed fraction):

Ans
=
3
1
2

Decimal To Fraction Table

Here you can see the decimal number to fraction number simple table for you basic information. Which will help you to easily find out your fraction number.

Decimal Number Fraction Number
0.5 1/2
0.25 1/4
0.6666 2/3
0.4 2/5
0.285714 2/7
0.22222 2/9
0.75 3/4
0.427581 3/7
2.5 5/2
0.83333 5/6
1.5 6/4
0.857182 6/7
0.875 7/8

If you want to convert a fraction number to a decimal number, then you need to use a fraction to decimal calculator.