Percentage to Fraction Calculator
Convert a percentage value to a fully simplified fraction.
Inputs
%
Fraction
3/8
Numerator
3
Denominator
8
As Decimal
0.375000
Step by step
Write percentage over 100
37.5% = 37.5/100
Scale to remove decimals
375/1000
Multiplied top and bottom by 10
Simplify by GCD
GCD = 125; result = 3/8
= 3/8
How it works
A percentage is simply a number over 100. To convert to a fraction, write the percentage over 100, clear any decimal digits by multiplying both top and bottom by the appropriate power of 10, then reduce by the GCD.
Formula
Percentage to Fraction
P% = P / 100, then simplify
- P
- The percentage value
Frequently Asked Questions
How do I convert 37.5% to a fraction?
37.5/100 = 375/1000 (multiply by 10 to clear the decimal). GCD(375,1000)=125, so 375÷125 / 1000÷125 = 3/8.
What about percentages greater than 100%?
They become improper fractions. For example, 150% = 150/100 = 3/2.