Decimal to Fraction Calculator
What is 0.625 as a fraction?
0.625 is 5/8: write it as 625/1000, then divide the top and bottom by their greatest common factor, 125.
Result
Fraction in simplest form
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- Mixed number
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- Percent
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- Nearest 1/16"
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- Inches to mm
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Fraction calculator
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- Simplest form
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- Mixed number
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- Decimal
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Steps
Fraction to decimal chart (sixteenths of an inch)
| Fraction | Decimal | Millimeters |
|---|---|---|
| 1/16 | 0.0625 | 1.587 |
| 1/8 | 0.1250 | 3.175 |
| 3/16 | 0.1875 | 4.762 |
| 1/4 | 0.2500 | 6.350 |
| 5/16 | 0.3125 | 7.938 |
| 3/8 | 0.3750 | 9.525 |
| 7/16 | 0.4375 | 11.112 |
| 1/2 | 0.5000 | 12.700 |
| 9/16 | 0.5625 | 14.287 |
| 5/8 | 0.6250 | 15.875 |
| 11/16 | 0.6875 | 17.462 |
| 3/4 | 0.7500 | 19.050 |
| 13/16 | 0.8125 | 20.637 |
| 7/8 | 0.8750 | 22.225 |
| 15/16 | 0.9375 | 23.813 |
| 1 | 1.0000 | 25.400 |
1 inch = 25.4 mm exactly.
Something off with the result?
How it's calculated
Exact integer arithmetic · repeating decimals by the 9s method · nearest inch fraction from 1/2 to 1/64
- Decimal to fraction: write the digits over 10, 100, 1000… and reduce by the greatest common factor. 0.625 = 625/1000 = 5/8
- Repeating decimal 0.a(b) to fraction: (all digits through one repeat − digits before the repeat) ÷ (one 9 per repeating digit followed by one 0 per non-repeating decimal digit). Example: 0.1(6) = (16 − 1) ÷ 90 = 1/6
- Nearest inch fraction: round(decimal × denominator) ÷ denominator, then reduce; the difference from the exact value is shown in inches
- Add and subtract: rewrite both fractions over the least common denominator, then add or subtract the numerators
- Multiply: numerator × numerator over denominator × denominator. Divide: multiply by the reciprocal of the second fraction
Numerators and denominators are kept as whole numbers (BigInt), so there is no floating-point error. The decimal line stops after 30 repeating digits and adds "…".
Frequently asked questions
How do you convert a decimal to a fraction?
Write the decimal over the matching power of 10, then reduce. 0.625 has three decimal places, so it is 625/1000; dividing the top and bottom by their greatest common factor, 125, gives 5/8. The calculator above does this exactly, with no rounding.
How do I convert a repeating decimal like 0.333... to a fraction?
Put the repeating part in parentheses, such as 0.(3) for 0.333..., 0.1(6) for 0.1666... or 0.(142857) for 1/7. You can also type 0.333... with three dots and the calculator will read the last repeating digits. 0.333... is exactly 1/3, and 0.1666... is 1/6.
What is 0.375 as a fraction?
0.375 = 375/1000 = 3/8. Other common ones: 0.125 = 1/8, 0.25 = 1/4, 0.5 = 1/2, 0.625 = 5/8, 0.75 = 3/4 and 0.875 = 7/8.
How do I convert a decimal inch to the nearest 1/16?
Multiply the decimal by 16, round to the nearest whole number, and put it over 16, then reduce. 0.3 inches × 16 = 4.8, which rounds to 5, so it is about 5/16 inch (0.3125). The calculator shows the nearest 1/2, 1/4, 1/8, 1/16, 1/32 or 1/64 and how far off it is.
How do I enter mixed numbers in the fraction calculator?
Leave a space between the whole number and the fraction, like 1 2/3. A negative mixed number such as -1 2/3 means −(1 + 2/3) = −5/3. Decimals like 0.25 and whole numbers like 3 work too.