Decimal to Fraction Calculator
Convert any decimal to a fraction in lowest terms, or to the closest fraction with a denominator you choose. Enter 0.375 to get 3/8, or 0.333 to get 1/3 with a max denominator of 100. Also shows the mixed number and percent.
Show steps
How to use the Decimal to Fraction Calculator
- Type the decimal number.
- Choose Exact for a terminating decimal, or a nearest-fraction option for measurements and repeating decimals.
- Press Calculate to see the fraction, mixed number and percent.
Formula and method
For a terminating decimal with k digits after the point: fraction = (decimal × 10k) / 10k, then divide the top and bottom by their greatest common divisor. For example, 0.375 = 375/1000 = 3/8 (divide by 125).
Repeating decimals have exact fractions too: 0.333… = 1/3, 0.666… = 2/3, 0.142857… = 1/7. Enter a rounded value and pick the closest-fraction option to recover them.
Decimal to fraction chart (sixteenths)
| Decimal | Fraction | Percent |
|---|---|---|
| 0.0625 | 1/16 | 6.25% |
| 0.125 | 1/8 | 12.5% |
| 0.1875 | 3/16 | 18.75% |
| 0.25 | 1/4 | 25% |
| 0.3125 | 5/16 | 31.25% |
| 0.375 | 3/8 | 37.5% |
| 0.4375 | 7/16 | 43.75% |
| 0.5 | 1/2 | 50% |
| 0.5625 | 9/16 | 56.25% |
| 0.625 | 5/8 | 62.5% |
| 0.6875 | 11/16 | 68.75% |
| 0.75 | 3/4 | 75% |
| 0.8125 | 13/16 | 81.25% |
| 0.875 | 7/8 | 87.5% |
| 0.9375 | 15/16 | 93.75% |
Worked example: 2.45
Write 2.45 over 100: 245/100. The greatest common divisor of 245 and 100 is 5, so the fraction is 49/20, which equals 2 9/20 as a mixed number.
Rounding for measurements
Rulers and tape measures use halves, quarters, eighths and sixteenths. To read 0.4 in on a ruler, pick the nearest 1/16 option: 0.4 is closest to 6/16, or 3/8 (0.375), a difference of 0.025 in.
Frequently asked questions
How do I convert a decimal to a fraction?
Put the digits over a power of ten (0.75 = 75/100), then reduce by dividing both numbers by their greatest common divisor to get 3/4.
How do I convert a repeating decimal to a fraction?
For 0.3 repeating, let x = 0.333…, then 10x − x = 3, so x = 3/9 = 1/3. Or enter a rounded value and use the closest-fraction option.
What is 0.5 as a fraction?
1/2.
What is 0.125 as a fraction?
1/8.
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