FractionPercent → fraction chart
The percentages worth knowing cold, each with its exact fraction. Where the digits would repeat forever, the percent is written as an exact mixed number — 33 1/3%, not a rounded 33.33% — because a reference chart is the one place to be exact.
The site chrome drops away — just the numbers.
| Percent | Fraction | Decimal |
|---|---|---|
| 1% | 1/100 | 0.01 |
| 2% | 1/50 | 0.02 |
| 2.5% | 1/40 | 0.025 |
| 5% | 1/20 | 0.05 |
| 6.25% | 1/16 | 0.0625 |
| 8 1/3% | 1/12 | ≈ 0.083333 |
| 10% | 1/10 | 0.1 |
| 12.5% | 1/8 | 0.125 |
| 16 2/3% | 1/6 | ≈ 0.166667 |
| 15% | 3/20 | 0.15 |
| 20% | 1/5 | 0.2 |
| 25% | 1/4 | 0.25 |
| 30% | 3/10 | 0.3 |
| 33 1/3% | 1/3 | ≈ 0.333333 |
| 37.5% | 3/8 | 0.375 |
| 40% | 2/5 | 0.4 |
| 41 2/3% | 5/12 | ≈ 0.416667 |
| 50% | 1/2 | 0.5 |
| 60% | 3/5 | 0.6 |
| 62.5% | 5/8 | 0.625 |
| 66 2/3% | 2/3 | ≈ 0.666667 |
| 70% | 7/10 | 0.7 |
| 75% | 3/4 | 0.75 |
| 80% | 4/5 | 0.8 |
| 83 1/3% | 5/6 | ≈ 0.833333 |
| 87.5% | 7/8 | 0.875 |
| 90% | 9/10 | 0.9 |
| 93.75% | 15/16 | 0.9375 |
| 100% | 1 | 1 |
| 125% | 5/4 | 1.25 |
| 150% | 3/2 | 1.5 |
| 200% | 2 | 2 |
Any other percentage: the percent → fraction converter reduces it exactly, including forms like 12 1/2%.
Common questions
- Why does the chart say 33 1/3% instead of 33.33%?
- Because 33 1/3% is exact and 33.33% is not. One third never ends in digits, but it is a perfectly clean fraction of a percent — so the chart writes the exact form, and the decimal column carries the ≈ where rounding happens.
- What is the fastest way to convert a percent in your head?
- Anchor on the chart’s landmarks: 50% is 1/2, 25% is 1/4, 20% is 1/5, 12.5% is 1/8, 10% is 1/10. Most everyday percentages are one of these or a small multiple — 75% is three 25s, 62.5% is five 12.5s.