Fraction to Decimal Converter
By Santaji GadepatilinUpdated October 27, 2026
Every fraction can be written as a decimal by dividing the numerator by the denominator. Some decimals end, while others repeat forever. This free fraction to decimal converter converts instantly in both directions and includes a quick reference table.
How to use the fraction to decimal converter
Enter a numerator and denominator to get the decimal and percentage. You can also type a decimal or percentage with a known denominator to find the numerator — for example, how many sixteenths make 0.4375 (answer: 7).
Fraction to decimal formula
decimal = numerator ÷ denominator percent = decimal × 100
Common fractions
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.33% |
| 1/4 | 0.25 | 25% |
| 3/8 | 0.375 | 37.5% |
| 2/3 | 0.667 | 66.67% |
| 3/4 | 0.75 | 75% |
| 7/16 | 0.4375 | 43.75% |
| 1/8 | 0.125 | 12.5% |
More fraction conversions
| Fraction | Decimal | Percent |
|---|---|---|
| 1/3 | 0.333333 | 33.33% |
| 2/3 | 0.666667 | 66.67% |
| 1/6 | 0.166667 | 16.67% |
| 5/6 | 0.833333 | 83.33% |
| 1/7 | 0.142857 | 14.29% |
| 1/9 | 0.111111 | 11.11% |
| 1/12 | 0.0833333 | 8.333% |
| 7/16 | 0.4375 | 43.75% |
| 11/16 | 0.6875 | 68.75% |
| 3/32 | 0.09375 | 9.375% |
Decimal back to fraction
- Write the decimal over 1, e.g. 0.375 ÷ 1.
- Multiply top and bottom by 10 for each decimal place: 375 ÷ 1000.
- Simplify by the greatest common factor (125): 3/8.
Repeating decimals to fractions
For a repeating decimal like 0.272727…:
- Let x = 0.2727…
- 100x = 27.2727…
- Subtract: 99x = 27, so x = 27/99 = 3/11
Mixed numbers
Convert 2 3/4 by dividing the fraction part and adding the whole number: 3 ÷ 4 = 0.75, so 2 3/4 = 2.75. In the calculator, enter 11 as the numerator and 4 as the denominator (2 × 4 + 3 = 11).
Terminating or repeating?
A simplified fraction gives a terminating decimal only if its denominator has no prime factors other than 2 and 5. So 3/8 and 7/20 terminate, while 1/3, 1/7 and 5/12 repeat.
Inch fractions
Imperial drawings use fractions of an inch: 3/8″ = 0.375″ = 9.525 mm. Halves, quarters, eighths and sixteenths always give exact (terminating) decimals because their denominators are powers of 2.
Frequently asked questions
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. 3/8 = 3 ÷ 8 = 0.375.
How do I turn a decimal into a percentage?
Multiply by 100. 0.375 = 37.5%.
Why do some fractions give repeating decimals?
If the denominator (in lowest terms) has any prime factor other than 2 or 5, the decimal repeats forever. 1/3 = 0.333… and 1/7 = 0.142857142857…
What is 5/8 as a decimal?
0.625, or 62.5%.
What is 1/3 as a percentage?
33.33…%, usually rounded to 33.3%.