Decimal To Fraction Calculator

Decimal to Fraction Converter Fractions Calculator Fraction Simplifier Fraction Converter From Decimal Fraction Percent To Decimal Fraction Percent Enter decimal = Convert × Reset ⇅ Swap Fraction result Calculation

* You can enter decimals with e notation. e.g: 572 = 5.72e2.

Fraction to decimal converter ►

How to convert decimal to fraction

Conversion stages

1. Write the decimal fraction as a fraction of the digits to the right of the decimal period (numerator) and a power of 10 (denominator).
2. Find the greatest common divisor (gcd) of the numerator and the denominator.
3. Reduce the fraction by dividing the numerator and the denominator with the 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 = 256100

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:

256100 = 2 + 564 ÷ 1004 = 21425

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

Fraction to decimal conversion ►

See also

• How to convert decimal to fraction
• Fraction to decimal conversion
• 0.2 to fraction
• 0.25 to fraction
• 0.375 to fraction
• 0.4 to fraction
• 0.5 to fraction
• 0.6 to fraction
• 0.625 to fraction
• 0.75 to fraction
• 1.5 to fraction
• Decimal to percent conversion
• Percent to fraction coversion
• Fractions calculator
• Simplifying fractions calculator
• Adding fractions calculator
• Subtracting fractions calculator
• Multiplying fractions calculator
• Dividing fractions calculator
• GCD calculator
• Fraction conversion