Percent to Fraction Calculator
Convert a percentage into a clean fraction reduced to lowest terms.
As a simplified fraction
5 / 8
62.5% = 62.5 / 100, reduced with the greatest common divisor.
As a decimal that's 0.625, since a fraction bar just means divide: 5 ÷ 8.
How it works
Percent literally means "per hundred," so every percentage is already a fraction with 100 on the bottom. 62.5% starts life as 62.5 / 100.
If the percentage has decimals, you scale the top and bottom up until both are whole numbers. 62.5 / 100 becomes 625 / 1000, which is now a clean fraction ready to reduce.
The last step divides top and bottom by their greatest common divisor to reach lowest terms. 625 / 1000 shares a factor of 125, so it simplifies neatly to 5 / 8.
Frequently asked questions
How does a decimal percentage become a fraction?
Each decimal place means one extra factor of ten. 12.5% is 12.5 / 100, and multiplying top and bottom by 10 clears the decimal to give 125 / 1000, which reduces to 1 / 8.
What does it mean to simplify to lowest terms?
It means shrinking the numerator and denominator by every factor they share until they have none left in common. 50 / 100 and 1 / 2 are the same value, but 1 / 2 is the simplest way to write it.
Can I enter a percentage over 100?
Go ahead. 150% converts to 3 / 2, an improper fraction that's perfectly valid. The calculator reduces it just the same, whether the result is less than or greater than one whole.