Percentage to Fraction Converter
Converting between fractions, decimals, and percents is easier when you simplify the fraction first, then multiply by 100 for the percent form.
percentage to fraction: use the form labels and formula on this page—confirm part vs whole before you calculate.
Percents to simplified fractions. Writing p% as
p/100 is the first step. After that, divide numerator and denominator by their
greatest common divisor so the result is easy to read and matches how textbooks prefer answers
(for example, 37.5% → 375/1000 → 3/8 after reduction).
This is intentionally the inverse path of fraction-to-percent: here the starting object is a percent label, not a pair of integers separated by a fraction bar. Non-terminating decimals may require rounding before reduction; the worked sections below spell out assumptions.
Enter a percentage value below. If you instead have a numerator and denominator and want a percent, use fraction to percentage. For a quick decimal multiplier only, use percentage to decimal without simplifying to a rational.
Simplified Fraction
0/1
How to Convert a Percentage to a Fraction
The Core Concept
To convert a percentage to a fraction, you simply take the percentage number and place it over 100 as the denominator. This is because "percent" literally means "of 100."
The 3-Step Process
- Write it over 100: Take the percentage (remove the % sign) and write it as the numerator of a fraction with 100 as the denominator.
- Remove decimals: If the percentage contains a decimal, multiply both the top and bottom by 10 for every decimal place until the top is a whole number.
- Simplify: Reduce the fraction to its simplest form by dividing both the numerator and denominator by their Greatest Common Divisor (GCD).
The Formula
Step-by-Step Example
| Percentage | Simplified Fraction |
|---|---|
| 10% | 1/10 |
| 20% | 1/5 |
| 25% | 1/4 |
| 50% | 1/2 |
| 75% | 3/4 |
| 12.5% | 1/8 |
Common mistakes
- Swapping part and whole: The denominator must be the full total, not a subset.
- Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
- Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.
❓ Frequently Asked Questions
How do I convert a percentage to a fraction?
Write the percentage over 100, then simplify. 75% = 75/100 = 3/4.
What is 33.33% as a fraction?
33.33% (repeating) equals exactly 1/3. Similarly, 66.67% = 2/3.
How do I simplify a fraction like 60/100?
Find the Greatest Common Divisor and divide. 60/100 = 3/5.
🔍 Authoritative References
For more information about mathematical conversions and calculations, consult these trusted sources:
- NIST - National Institute of Standards and Technology
- Wolfram MathWorld - Comprehensive mathematical reference