Fractions to Decimals Table
A quick reference table that converts common fractions into decimal and percentage form. Values are shown in a clean format for fast lookup. Repeating decimals are marked with an ellipsis (…).
How to Read This Table
- Decimal: Rounded to 6 decimal places where helpful.
- Percent: Fraction × 100, shown with “%”.
- Repeating decimals: Shown with “…” (example: 0.3333…).
Common Fractions
These are the most frequently used fractions in measurement, ratios, and everyday math.
| Fraction | Decimal | Percent | Notes |
|---|---|---|---|
| 1/2 | 0.5 | 50% | |
| 1/3 | 0.333333… | 33.3333…% | Repeating |
| 2/3 | 0.666667… | 66.6667…% | Repeating |
| 1/4 | 0.25 | 25% | |
| 3/4 | 0.75 | 75% | |
| 1/5 | 0.2 | 20% | |
| 2/5 | 0.4 | 40% | |
| 3/5 | 0.6 | 60% | |
| 4/5 | 0.8 | 80% | |
| 1/6 | 0.166667… | 16.6667…% | Repeating |
| 5/6 | 0.833333… | 83.3333…% | Repeating |
| 1/8 | 0.125 | 12.5% | |
| 3/8 | 0.375 | 37.5% | |
| 5/8 | 0.625 | 62.5% | |
| 7/8 | 0.875 | 87.5% | |
| 1/10 | 0.1 | 10% | |
| 3/10 | 0.3 | 30% | |
| 7/10 | 0.7 | 70% | |
| 9/10 | 0.9 | 90% | |
| 1/12 | 0.083333… | 8.33333…% | Repeating |
| 5/12 | 0.416667 | 41.6667% | |
| 7/12 | 0.583333… | 58.3333…% | Repeating |
| 11/12 | 0.916667… | 91.6667…% | Repeating |
| 1/16 | 0.0625 | 6.25% | |
| 3/16 | 0.1875 | 18.75% | |
| 5/16 | 0.3125 | 31.25% | |
| 7/16 | 0.4375 | 43.75% | |
| 9/16 | 0.5625 | 56.25% | |
| 11/16 | 0.6875 | 68.75% | |
| 13/16 | 0.8125 | 81.25% | |
| 15/16 | 0.9375 | 93.75% |
Measurement-Friendly Fractions
Common fractions used in rulers, inches, and quick approximations (32nds and 64ths). These are included because they appear frequently in real-world measurements.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/32 | 0.03125 | 3.125% |
| 3/32 | 0.09375 | 9.375% |
| 5/32 | 0.15625 | 15.625% |
| 7/32 | 0.21875 | 21.875% |
| 9/32 | 0.28125 | 28.125% |
| 11/32 | 0.34375 | 34.375% |
| 13/32 | 0.40625 | 40.625% |
| 15/32 | 0.46875 | 46.875% |
| 1/64 | 0.015625 | 1.5625% |
| 3/64 | 0.046875 | 4.6875% |
| 5/64 | 0.078125 | 7.8125% |
| 7/64 | 0.109375 | 10.9375% |
Quick Tips
- Convert to decimal: divide the numerator by the denominator.
- Convert to percent: multiply the decimal by 100.
- Fast checks: denominators 2, 4, 8, 16, 32, 64 terminate cleanly in base-10.
- Repeating decimals: common with denominators like 3, 6, 7, 9, 12.
References
The conversions on this page follow standard arithmetic definitions of fractions, decimals, and percentages, and the base-10 properties that determine terminating vs repeating decimals.