Decimal to Fraction Conversion

How to convert decimal to fraction

1. Count the number of digits (d) to the right of the decimal point of the decimal number x.Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
2. Calculate the factor (f) for making the decimal number an integer:
   f = 10^d
   Example:
   
   f = 10² = 100
3. Multiply and divide the decimal number x by the factor f:
   x × f / f  =  y / f
   Example:
   
   2.56 × 100 / 100 = 256 / 100
4. Find the greatest common divisor (gcd) of the fraction. Example:
   
   gcd(256,100) = 4
5. Reduce the fraction by dividing the numerator and denominator by the gcd value:Example:
   
   256 / 100 = (256/4) / (100/4) = 64/25

Decimal to fraction conversion table

Decimal	Fraction
0.01000000	1/100
0.10000000	1/10
0.11111111	1/9
0.12500000	1/8
0.14285714	1/7
0.16666667	1/6
0.20000000	1/5
0.22222222	2/9
0.25000000	1/4
0.28571429	2/7
0.30000000	3/10
0.33333333	1/3
0.37500000	3/8
0.40000000	2/5
0.42857143	3/7
0.44444444	4/9
0.50000000	1/2
0.55555555	5/9
0.57142858	4/7
0.62500000	5/8
0.66666667	2/3
0.60000000	3/5
0.70000000	7/10
0.71428571	5/7
0.75000000	3/4
0.77777778	7/9
0.80000000	4/5
0.83333333	5/6
0.85714286	6/7
0.87500000	7/8
0.88888889	8/9
0.90000000	9/10