# Decimal to Fraction Converter

Exploring How Numbers Change: Going from Decimals to Fractions. Try out a tool that makes numbers easier to understand!

## How to Transform a Decimal into a Fraction: Steps to Follow:

1. Express the decimal number as a fraction, using the digits after the decimal point as the numerator and a corresponding power of 10 as the denominator.
2. Identify the greatest common divisor (gcd) of both the numerator and denominator.
3. Simplify the fraction by dividing both the numerator and denominator by the identified gcd.

#### Example #1

Convert 0.32 to fraction:

0.32 =
32100

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

gcd(32,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.32 =
324
÷
1004
=
825

#### Example #2

Convert 2.56 to fraction:

2.56 = 2
56100

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

gcd(56,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

2
56100
= 2 +
564
÷
1004
= 2
1425

#### Example #3

Convert 0.124 to fraction:

0.124 =
1241000

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

gcd(124,1000) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.124 =
1244
÷
10004
=
31250

## How to convert repeating decimal to fraction

#### Example #1

Convert 0.333333... to fraction:

x = 0.333333...

10x = 3.333333...

10x - x = 9x = 3

x =
39
=
13

#### Example #2

Convert 0.0565656... to fraction:

x = 0.0565656...

100x = 5.6565656...

100x - x = 99x = 5.6

990x = 56

x =
56990
=
28495

## 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

How does the Fraction to Decimal Converter work?

The converter takes a fraction as input, divides the numerator by the denominator, and provides the resultant value in decimal format.