Fraction to Decimal Chart
A chart of common fractions and their exact decimal equivalents, with a converter for any fraction.
Change the values and press Calculate to work out your own figures.
Enter a fraction.
Show the working
- Divide the numerator by the denominator (a remainder that comes back means the digits repeat)
How to use it
Enter a fraction.
Numbers can be whole numbers, decimals (0.75), fractions (3/4), mixed numbers (1 1/2), repeating decimals (0.(3)) and, where a percent is asked for, percentages (75%). Show the working gives each step.
Key facts
decimal = n ÷ d
Sixteenths and sixty-fourths
Tape-measure fractions all end in binary-friendly decimals: 5/16 = 0.3125.
Fractions and decimals
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.(3) |
| 2/3 | 0.(6) |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.1(6) |
| 5/6 | 0.8(3) |
| 1/7 | 0.(142857) |
| 2/7 | 0.(285714) |
| 3/7 | 0.(428571) |
| 4/7 | 0.(571428) |
| 5/7 | 0.(714285) |
| 6/7 | 0.(857142) |
| 1/8 | 0.125 |
| 3/8 | 0.375 |
| 5/8 | 0.625 |
| 7/8 | 0.875 |
| 1/9 | 0.(1) |
| 2/9 | 0.(2) |
| 4/9 | 0.(4) |
| 5/9 | 0.(5) |
| 7/9 | 0.(7) |
| 8/9 | 0.(8) |
| 1/10 | 0.1 |
| 3/10 | 0.3 |
| 7/10 | 0.7 |
| 9/10 | 0.9 |
| 1/11 | 0.(09) |
| 2/11 | 0.(18) |
| 3/11 | 0.(27) |
| 4/11 | 0.(36) |
| 5/11 | 0.(45) |
| 6/11 | 0.(54) |
| 7/11 | 0.(63) |
| 8/11 | 0.(72) |
| 9/11 | 0.(81) |
| 10/11 | 0.(90) |
| 1/12 | 0.08(3) |
| 5/12 | 0.41(6) |
| 7/12 | 0.58(3) |
| 11/12 | 0.91(6) |
| 1/16 | 0.0625 |
| 3/16 | 0.1875 |
| 5/16 | 0.3125 |
| 7/16 | 0.4375 |
| 9/16 | 0.5625 |
| 11/16 | 0.6875 |
| 13/16 | 0.8125 |
| 15/16 | 0.9375 |
| 1/32 | 0.03125 |
| 3/32 | 0.09375 |
| 5/32 | 0.15625 |
| 7/32 | 0.21875 |
| 9/32 | 0.28125 |
| 11/32 | 0.34375 |
| 13/32 | 0.40625 |
| 15/32 | 0.46875 |
| 17/32 | 0.53125 |
| 19/32 | 0.59375 |
| 21/32 | 0.65625 |
| 23/32 | 0.71875 |
| 25/32 | 0.78125 |
| 27/32 | 0.84375 |
| 29/32 | 0.90625 |
| 31/32 | 0.96875 |
| 1/64 | 0.015625 |
| 3/64 | 0.046875 |
| 5/64 | 0.078125 |
| 7/64 | 0.109375 |
| 9/64 | 0.140625 |
| 11/64 | 0.171875 |
| 13/64 | 0.203125 |
| 15/64 | 0.234375 |
| 17/64 | 0.265625 |
| 19/64 | 0.296875 |
| 21/64 | 0.328125 |
| 23/64 | 0.359375 |
| 25/64 | 0.390625 |
| 27/64 | 0.421875 |
| 29/64 | 0.453125 |
| 31/64 | 0.484375 |
| 33/64 | 0.515625 |
| 35/64 | 0.546875 |
| 37/64 | 0.578125 |
| 39/64 | 0.609375 |
| 41/64 | 0.640625 |
| 43/64 | 0.671875 |
| 45/64 | 0.703125 |
| 47/64 | 0.734375 |
| 49/64 | 0.765625 |
| 51/64 | 0.796875 |
| 53/64 | 0.828125 |
| 55/64 | 0.859375 |
| 57/64 | 0.890625 |
| 59/64 | 0.921875 |
| 61/64 | 0.953125 |
| 63/64 | 0.984375 |
Questions
What is 5/16 as a decimal?
0.3125.
And 2/3?
0.(6).
Formulas
decimal = n ÷ d
Sources
Limitations
- Numbers have at most 120 digits.