Decimal to Fraction Conversion Calculator

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Fraction result:

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How to transform decimal to fraction

Conversion tiers

1. Write the decimal fraction as a fragment of the digits to the right of the decimal length (numerator) and a strength of 10 (denominator).
2. Find the first-class common divisor (gcd) of the numerator and the denominator.
3. Reduce the fraction via dividing the numerator and the denominator with the gcd.

Example #1

Convert zero.32 to fraction:

zero.32 = 32/100

Find the high-quality not unusual divisor (gcd) of the numerator and the denominator:

gcd(32,a hundred) = 4

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

zero.32 = (32/four) / (100/4) = 8/25

Example #2

Convert 2.Fifty six to fraction:

2.Fifty six = 2+fifty six/one hundred

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

gcd(56,one hundred) = 4

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

2+fifty six/one hundred = 2 + (56/four) / (a hundred/4) = 2+14/25

Example #three

Convert zero.124 to fraction:

zero.124 = 124/a thousand

Find the best not unusual divisor (gcd) of the numerator and the denominator:

gcd(124,a thousand) = 4

Reduce the fraction thru way of dividing the numerator and the denominator with the gcd:

zero.124 = (124/4) / (a thousand/four) = 31/250

How to convert repeating decimal to fraction

Example #1

Convert 0.333333... To fraction:

x = 0.333333...

10x = 3.333333...

10x - x = ninex = 3

x = 3/9 = 1/three

Example #2

Convert 0.0565656... To fraction:

x = 0.0565656...

100x = five.6565656...

100x - x = ninety ninex = five.6

990x = fifty six

x = fifty six/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 ►