Type a fraction (3/8 or 1 1/2), a decimal (0.375, or 0.1(6) for a repeating decimal) or a percentage (37.5%) to see it in all three forms, simplified and exact.
A decimal becomes a fraction by writing it over a power of ten and simplifying: 0.375 = 375/1000 = 3/8. A fraction becomes a decimal by long division, which either ends or starts repeating; repeating digits are shown in brackets, so 1/6 = 0.1(6).
A percentage is the decimal multiplied by 100: 3/8 = 0.375 = 37.5%. All arithmetic is exact, so nothing is lost to rounding.
The box on the Convert page answers the same questions as you type, for example “120000 in words”, “1994 in roman”, “255 in binary” or “0.375 as a fraction”.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.(3) | 33.(3)% |
| 2/3 | 0.(6) | 66.(6)% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/6 | 0.1(6) | 16.(6)% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/9 | 0.(1) | 11.(1)% |
| 1/10 | 0.1 | 10% |
| 1/12 | 0.08(3) | 8.(3)% |
| 1/16 | 0.0625 | 6.25% |
| 1/32 | 0.03125 | 3.125% |
Write the decimal over the matching power of ten and simplify: 0.375 = 375/1000 = 3/8. For a repeating decimal such as 0.1666…, type 0.1(6) with the repeating digits in brackets to get 1/6 exactly.
The digits in brackets repeat for ever, so 0.(3) is 0.333… and 3.(142857) is 3.142857142857…. Every fraction gives either a decimal that ends or one that repeats.
Divide the top number by the bottom number and multiply by 100: 3/8 = 0.375 = 37.5%.