Percentage to Fraction Calculator

Convert a percentage to a fraction

Use this calculator to convert percentages to fractions.

Enter the percentage value as a decimal number. Do not include the '%' symbol.
Press "Convert To Fraction".
The equivalent fraction will appear above your input.

You may also convert percentages that are periodic numbers. If the repeating portion is longer than one digit, enclose it in parenthesis ( for example 2.4(35) ). If the repeating portion is only one digit add three dots (...) to the end of the number (for example 3.3...).

How to convert a percentage to a fraction

There are many ways to perform the conversion. This calculator performs the following steps:

First the number is converted to a fraction...

If, for example we are converting 12.5%:

$12.5 = \frac{25}{2}$

The fraction is then divided by 100. This is achieved by multiplying the denominator by 100:

$\frac{25}{2} \div 100 = \frac{25}{2} \times \frac{1}{100}= \frac{25}{200}$

Now, all we have to do is simplify the fraction, so it becomes:

$\frac{25}{200} = \frac{1}{8}$

Another approach is to first divide the number by 100 and then represent it as a fraction:

$12.5\% = 12.5/100 = 0.125 = \frac{125}{1000} = \frac{1}{8}$

You may also be interested in converting fractions to percentages.