Fraction to Decimal Chart
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Divide the numerator by the denominator to turn a fraction into a decimal: 3⁄8 = 3 ÷ 8 = 0.375. The chart lists every fraction in lowest terms for denominators 2 to 64, including the inch fractions used on rulers, with its decimal and percent.
| Fraction | Decimal | Percent | Type |
|---|---|---|---|
| 1⁄2 | 0.5 | 50% | terminating |
| 1⁄3 | 0.3333… | 33.3333% | repeating |
| 2⁄3 | 0.6667… | 66.6667% | repeating |
| 1⁄4 | 0.25 | 25% | terminating |
| 3⁄4 | 0.75 | 75% | terminating |
| 1⁄5 | 0.2 | 20% | terminating |
| 2⁄5 | 0.4 | 40% | terminating |
| 3⁄5 | 0.6 | 60% | terminating |
| 4⁄5 | 0.8 | 80% | terminating |
| 1⁄6 | 0.1667… | 16.6667% | repeating |
| 5⁄6 | 0.8333… | 83.3333% | repeating |
| 1⁄8 | 0.125 | 12.5% | terminating |
| 3⁄8 | 0.375 | 37.5% | terminating |
| 5⁄8 | 0.625 | 62.5% | terminating |
| 7⁄8 | 0.875 | 87.5% | terminating |
| 1⁄10 | 0.1 | 10% | terminating |
| 3⁄10 | 0.3 | 30% | terminating |
| 7⁄10 | 0.7 | 70% | terminating |
| 9⁄10 | 0.9 | 90% | terminating |
| 1⁄12 | 0.0833… | 8.3333% | repeating |
| 5⁄12 | 0.4167… | 41.6667% | repeating |
| 7⁄12 | 0.5833… | 58.3333% | repeating |
| 11⁄12 | 0.9167… | 91.6667% | repeating |
| 1⁄16 | 0.0625 | 6.25% | terminating |
| 3⁄16 | 0.1875 | 18.75% | terminating |
| 5⁄16 | 0.3125 | 31.25% | terminating |
| 7⁄16 | 0.4375 | 43.75% | terminating |
| 9⁄16 | 0.5625 | 56.25% | terminating |
| 11⁄16 | 0.6875 | 68.75% | terminating |
| 13⁄16 | 0.8125 | 81.25% | terminating |
| 15⁄16 | 0.9375 | 93.75% | terminating |
| 1⁄32 | 0.03125 | 3.125% | terminating |
| 3⁄32 | 0.09375 | 9.375% | terminating |
| 5⁄32 | 0.15625 | 15.625% | terminating |
| 7⁄32 | 0.21875 | 21.875% | terminating |
| 9⁄32 | 0.28125 | 28.125% | terminating |
| 11⁄32 | 0.34375 | 34.375% | terminating |
| 13⁄32 | 0.40625 | 40.625% | terminating |
| 15⁄32 | 0.46875 | 46.875% | terminating |
| 17⁄32 | 0.53125 | 53.125% | terminating |
| 19⁄32 | 0.59375 | 59.375% | terminating |
| 21⁄32 | 0.65625 | 65.625% | terminating |
| 23⁄32 | 0.71875 | 71.875% | terminating |
| 25⁄32 | 0.78125 | 78.125% | terminating |
| 27⁄32 | 0.84375 | 84.375% | terminating |
| 29⁄32 | 0.90625 | 90.625% | terminating |
| 31⁄32 | 0.96875 | 96.875% | terminating |
| 1⁄64 | 0.015625 | 1.5625% | terminating |
| 3⁄64 | 0.046875 | 4.6875% | terminating |
| 5⁄64 | 0.078125 | 7.8125% | terminating |
| 7⁄64 | 0.109375 | 10.9375% | terminating |
| 9⁄64 | 0.140625 | 14.0625% | terminating |
| 11⁄64 | 0.171875 | 17.1875% | terminating |
| 13⁄64 | 0.203125 | 20.3125% | terminating |
| 15⁄64 | 0.234375 | 23.4375% | terminating |
| 17⁄64 | 0.265625 | 26.5625% | terminating |
| 19⁄64 | 0.296875 | 29.6875% | terminating |
| 21⁄64 | 0.328125 | 32.8125% | terminating |
| 23⁄64 | 0.359375 | 35.9375% | terminating |
| 25⁄64 | 0.390625 | 39.0625% | terminating |
| 27⁄64 | 0.421875 | 42.1875% | terminating |
| 29⁄64 | 0.453125 | 45.3125% | terminating |
| 31⁄64 | 0.484375 | 48.4375% | terminating |
| 33⁄64 | 0.515625 | 51.5625% | terminating |
| 35⁄64 | 0.546875 | 54.6875% | terminating |
| 37⁄64 | 0.578125 | 57.8125% | terminating |
| 39⁄64 | 0.609375 | 60.9375% | terminating |
| 41⁄64 | 0.640625 | 64.0625% | terminating |
| 43⁄64 | 0.671875 | 67.1875% | terminating |
| 45⁄64 | 0.703125 | 70.3125% | terminating |
| 47⁄64 | 0.734375 | 73.4375% | terminating |
| 49⁄64 | 0.765625 | 76.5625% | terminating |
| 51⁄64 | 0.796875 | 79.6875% | terminating |
| 53⁄64 | 0.828125 | 82.8125% | terminating |
| 55⁄64 | 0.859375 | 85.9375% | terminating |
| 57⁄64 | 0.890625 | 89.0625% | terminating |
| 59⁄64 | 0.921875 | 92.1875% | terminating |
| 61⁄64 | 0.953125 | 95.3125% | terminating |
| 63⁄64 | 0.984375 | 98.4375% | terminating |
How to convert a fraction to a decimal
- Divide the top number by the bottom number: 5⁄8 = 5 ÷ 8 = 0.625.
- For a mixed number, keep the whole part: 2 3⁄4 = 2 + 0.75 = 2.75.
- Multiply the decimal by 100 for a percent: 0.625 = 62.5%.
Terminating or repeating?
A fraction in lowest terms gives a terminating decimal exactly when its denominator has no prime factors other than 2 and 5. So 3⁄8 = 0.375 ends, but 1⁄3 = 0.333… and 5⁄6 = 0.8333… repeat forever.
Inch fractions on a ruler
Rulers split an inch into halves, quarters, eighths and sixteenths: 1⁄16 in = 0.0625 in, 3⁄8 in = 0.375 in. Machinists convert to decimals to three or four places, which is why 32nds and 64ths appear in the chart.
Fraction to Decimal Chart quiz: 10 questions
Test yourself with 10 multiple-choice questions. Choose an answer and press Submit to see if you are right and why. Your score appears at the end.
Quiz complete
Frequently asked questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. The converter above does it for any fraction or mixed number.
Why do some fractions repeat?
If the denominator in lowest terms has a prime factor other than 2 or 5, the division never ends, and the digits repeat.
What is 1/8 as a decimal?
0.125.
Can I print this chart?
Yes. Choose a denominator or show all, then print the page.
How do I turn a decimal into a fraction?
Write it over a power of 10 and simplify: 0.45 = 45⁄100 = 9⁄20. The converter accepts decimals too.
Sources
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