Fraction to Decimal Converter
Convert any fraction or mixed number to a decimal and a percentage. Repeating decimals such as 1/3 = 0.3̅ are shown exactly, not just rounded.
How to use the Fraction to Decimal Converter
- Enter the numerator (top number) and denominator (bottom number).
- For a mixed number such as 2 ¾, also enter the whole number.
- Read the decimal, the percentage and the simplest form.
How it works
A fraction is a division: decimal = numerator ÷ denominator. 3/8 = 3 ÷ 8 = 0.375. For a mixed number, convert to an improper fraction first: 2 ¾ = (2 × 4 + 3)/4 = 11/4 = 2.75.
A fraction in lowest terms gives a terminating decimal only when its denominator has no prime factors other than 2 and 5. Otherwise the digits repeat forever — 1/3 = 0.333…, 1/7 = 0.142857142857… — and the repeating block is marked with a bar.
Popular fraction to decimal conversions
- 1/2 as a decimal
- 1/3 as a decimal
- 2/3 as a decimal
- 1/4 as a decimal
- 3/4 as a decimal
- 1/5 as a decimal
- 2/5 as a decimal
- 3/5 as a decimal
- 4/5 as a decimal
- 1/6 as a decimal
- 5/6 as a decimal
- 1/7 as a decimal
- 2/7 as a decimal
- 3/7 as a decimal
- 4/7 as a decimal
- 5/7 as a decimal
- 6/7 as a decimal
- 1/8 as a decimal
- 3/8 as a decimal
- 5/8 as a decimal
- 7/8 as a decimal
- 1/9 as a decimal
- 2/9 as a decimal
- 4/9 as a decimal
- 5/9 as a decimal
- 7/9 as a decimal
- 8/9 as a decimal
- 1/10 as a decimal
- 3/10 as a decimal
- 7/10 as a decimal
Fraction to decimal chart
| Fraction | Decimal | Fraction | Decimal |
|---|---|---|---|
| 1/2 | 0.5 | 1/16 | 0.0625 |
| 1/3 | 0.3̅ | 3/16 | 0.1875 |
| 2/3 | 0.6̅ | 5/16 | 0.3125 |
| 1/4 | 0.25 | 7/16 | 0.4375 |
| 3/4 | 0.75 | 9/16 | 0.5625 |
| 1/5 | 0.2 | 11/16 | 0.6875 |
| 1/8 | 0.125 | 13/16 | 0.8125 |
| 3/8 | 0.375 | 15/16 | 0.9375 |
| 5/8 | 0.625 | 1/32 | 0.03125 |
| 7/8 | 0.875 | 1/64 | 0.015625 |
Frequently asked questions
What is 3/8 as a decimal?
0.375.
What is 1/3 as a decimal?
0.333… — the 3 repeats forever, written 0.3̅.
How do I convert a mixed number to a decimal?
Divide the fraction part and add the whole number: 2 3/4 = 2 + 0.75 = 2.75.
How do I turn a fraction into a percentage?
Convert to a decimal and multiply by 100: 3/8 = 0.375 = 37.5%.
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