Decimal to Fraction Calculator

Fraction to decimal converter ►

How to convert decimal to fraction

Conversion steps

  1. Write the decimal fraction as a fraction of the digits to the right of the decimal point (numerator) and a power of 10 (denominator).
  2. Find the greatest common divisor ( gcd) from the numerator and denominator.
  3. Reduce the fraction by dividing the numerator and denominator by the gcd.

Example #1

Convert 0.35 to fraction:

0.35 = 35/100

So greatest common divisor (gcd) of the numerator and the denominator.

gcd(35,100) = 5

So Reduce the fraction by dividing the numerator and the denominator with the [gcd].

0.35 = (35/5)/(100/5) = 7/20

Example #2

Convert 2.66 to fraction:

2.66 = 2+66/100

So Find the greatest common divisor (gcd) of the numerator and the denominator.

gcd(66,100) = 2

So Reduce the fraction by dividing the numerator and the denominator with the [gcd].

2.66 = 2+(66/2)/(100/2) = 2+33/50 = 133/50

Example #3

Convert 0.145 to fraction:

0.145 = 145/1000

So Find the greatest common divisor (gcd) of the numerator and the denominator.

gcd(145,1000) = 5

So Reduce the fraction by dividing the numerator and the denominator with the [gcd].

0.145 = (145/5)/(1000/5) = 29/200

How to convert repeating decimal to fraction

Example #1

Convert 0.333333... to fraction:

x = 0.333333...

10 x = 3.333333...

10 x -  x = 9 x = 3

x = 3/9 = 1/3

Example #2

Convert 0.0565656... to fraction:

x = 0.0565656...

100 x = 5.6565656...

100 x -  x = 99 x = 5.6

990 x = 56

x = 56/990 = 28/495

Decimal to fraction conversion table

Decimal Fraction
0.00001 1/100000
0.0001 1/10000
0.001 1/1000
0.01 1/100
0.08333333 1/12
0.09090909 1/11
0.1 1/10
0.11111111 1/9
0.125 1/8
0.14285714 1/7
0.16666667 1/6
0.2 1/5
0.22222222 2/9
0.25 1/4
0.28571429 2/7
0.3 3/10
0.33333333 1/3
0.375 3/8
0.4 2/5
0.42857143 3/7
0.44444444 4/9
0.5 1/2
0.55555555 5/9
0.57142858 4/7
0.6 3/5
0.625 5/8
0.66666667 2/3
0.7 7/10
0.71428571 5/7
0.75 3/4
0.77777778 7/9
0.8 4/5
0.83333333 5/6
0.85714286 6/7
0.875 7/8
0.88888889 8/9
0.9 9/10
1.1 11/10
1.2 6/5
1.25 5/4
1.3 13/10
1.4 7/5
1.5 3/2
1.6 8/5
1.7 17/10
1.75 7/4
1.8 9/5
1.9 19/10
2.5 5/2

 

 

Fraction to decimal conversion ►

 


See also

Features of Decimal to Fraction Calculator

Decimal to Fraction Calculator offered by cmtoinchesconvert.com is a free online utility that allows users to converter Decimal to Fraction without any manual efforts. Some of the key features of this Decimal to Fraction Calculator are listed below:

100% Free

You don't need to go through any registration process to use this Decimal to Fraction. You can use this utility for free and do unlimited Decimal to Fraction conversions without any limitations.

Easily accessible

You don't need to install any software on your device to access Decimal to Fraction Calculator. You can access and use this online service with any web browser with a stable internet connection.

User-friendly interface

Decimal to Fraction Calculator is easy to use interface. use that enable users to convert Decimal to Fraction online in seconds. You don't need to acquire any special skills or follow complicated procedures, to use this Decimal to Fraction.

Fast conversion

This Decimal to Fraction Calculator offers users the fastest conversion. Once the user enters the  Decimal to Fraction values ​​in the input field and clicks the Convert button, the utility will start the conversion process and return the results immediately.

Accurate Results

The results generated by this Decimal to Fraction are 100% accurate. The advanced algorithms used by this utility provided users with error-free results. If you ensure the authenticity of the results provided by this utility, you can use any method to verify them.

Compatibility

Decimal to Fraction Calculator is compatible with all types of devices. Whether you are using a smartphone, tablet, desktop, laptop or Mac, you can easily use this Decimal to Fraction Calculator.

 

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