Percent to Fraction Calculator
Convert any percentage to its simplest fraction form with step-by-step explanation.
Common Conversions
| Percent | Fraction |
|---|---|
| 10% | 1/10 |
| 20% | 1/5 |
| 25% | 1/4 |
| 33.33% | 1/3 |
| 50% | 1/2 |
| 66.67% | 2/3 |
| 75% | 3/4 |
| 80% | 4/5 |
| 12.5% | 1/8 |
| 37.5% | 3/8 |
| 62.5% | 5/8 |
| 87.5% | 7/8 |
How Percent to Fraction Conversion Works
Converting a percentage to a fraction is straightforward: place the percentage value over 100 to create a fraction, then simplify it by dividing both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 75% becomes 75/100, and since GCD(75, 100) = 25, the simplified fraction is 3/4.
For decimal percentages like 12.5%, first multiply both the numerator and denominator by a power of 10 to remove the decimal. So 12.5% becomes 125/1000, and after simplification with GCD(125, 1000) = 125, you get 1/8. This method works for any percentage, including repeating decimals.