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To convert a percentage to a fraction: (1) Write percent/100. (2) Find the GCD of numerator and denominator. (3) Divide both by GCD to simplify. Example: 75% → 75/100. GCD(75,100) = 25. Simplified: 3/4.
For decimal percentages like 12.5%: multiply numerator and denominator by 10 to clear the decimal → 125/1000. GCD(125,1000) = 125 → 1/8. For repeating decimals like 33.333...% = 1/3 exactly.
Common conversions to memorise: 50% = 1/2, 25% = 1/4, 75% = 3/4, 20% = 1/5, 10% = 1/10, 33.33% ≈ 1/3, 66.67% ≈ 2/3. Fraction literacy speeds up mental arithmetic.
Fraction = (Percentage / 100) simplified by GCD
Enter a percentage to convert it to a fraction in lowest terms.
| Percentage | Fraction | Decimal | Notes |
|---|---|---|---|
| 10% | 1/10 | 0.1 | One tenth |
| 12.5% | 1/8 | 0.125 | One eighth |
| 20% | 1/5 | 0.2 | One fifth |
| 25% | 1/4 | 0.25 | One quarter |
| 33.33% | 1/3 | 0.333... | Repeating decimal |
| 40% | 2/5 | 0.4 | Two fifths |
| 50% | 1/2 | 0.5 | One half |
| 60% | 3/5 | 0.6 | Three fifths |
| 66.67% | 2/3 | 0.666... | Repeating decimal |
| 75% | 3/4 | 0.75 | Three quarters |
| 80% | 4/5 | 0.8 | Four fifths |
| 87.5% | 7/8 | 0.875 | Seven eighths |
| 100% | 1/1 | 1.0 | Whole |
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This calculator is for educational purposes only and does not constitute professional advice. Results are based on standard mathematical formulas. Always verify critical calculations with a qualified professional before making important decisions.