Percent to fraction conversion

How to convert percent to fraction

Divide the percent by 100 to get decimal number.
Count the number of digits (d) to the right of the decimal point of the decimal number.
Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
Calculate the factor (f) for making the decimal number an integer:
f = 10^d

Example:

f = 10² = 100
Multiply and divide the decimal number x by the factor f:
x × f / f = y / f

Example:

2.56 × 100 / 100 = 256 / 100
Find the greatest common divisor (gcd) of the fraction.
Example:
gcd(256,100) = 4
Reduce the fraction by dividing the numerator and denominator by the gcd value:
Example:

256 / 100 = (256/4) / (100/4) = 64/25

One percent is equal to one hundredth:

1% = 1/100

So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.

For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:

56% = 56/100 = 14/25