Convert any percentage into its simplest fraction form.
As a Fraction (simplified)
3/4
A percentage can always be written as a fraction out of 100, and that fraction can usually be simplified into smaller, easier-to-read numbers. This is a common requirement in school maths, where answers are often expected in "simplest form" rather than as an unsimplified fraction like 75/100.
This tool converts any percentage directly into a fraction and automatically reduces it to its lowest terms using the greatest common divisor of the numerator and denominator.
Formula
Fraction = Percentage / 100, then simplify by dividing both parts by their GCD
GCD = greatest common divisor of the numerator and the denominator.
Worked Example
Worked example
Some common percentage-fraction pairs
50% = 1/2, 25% = 1/4, 20% = 1/5, 10% = 1/10, and 33.33...% (recurring) = 1/3. Recognising these common ones by heart makes a lot of mental maths much faster.
What about percentages with decimals?
A percentage like 12.5% can still be converted โ first multiply both the percentage and 100 by 10 to clear the decimal (giving 125/1000), then simplify as usual, which gives 1/8.
Frequently Asked Questions
How do I convert a percentage to a fraction?
Write the percentage as a fraction over 100, then simplify by dividing both the top and bottom by their greatest common divisor.
What is 20% as a fraction?
20% is 20/100, which simplifies to 1/5.
How do I convert a percentage with a decimal, like 12.5%, to a fraction?
Multiply both the percentage and 100 by a power of 10 to remove the decimal first (12.5% becomes 125/1000), then simplify as normal โ this gives 1/8.
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