How to use the Fraction to Decimal Calculator
Type a fraction such as 3/8 or 2/3. You get the decimal, the percentage and the fraction in lowest terms.
How to convert a fraction to a decimal
Divide the numerator by the denominator: 3/8 is 3 ÷ 8 = 0.375. A mixed number such as 1 3/8 is first rewritten as an improper fraction, 11/8, which gives 1.375.
Terminating and repeating decimals
A simplified fraction gives a decimal that ends only when its denominator has no prime factors other than 2 and 5. That is why 3/8 and 7/20 end, while 1/3, 2/7 and 5/6 repeat forever. The brackets show the repeating part: 0.(3) means 0.333…
The formula
Decimal = numerator ÷ denominator
Examples
- 3/8
Decimal: 0.375 Percentage: 37.5% Simplified: 3/8
- 1/3
Decimal: 0.(3) Percentage: 33.33333333% Simplified: 1/3
- 7/16
Decimal: 0.4375 Percentage: 43.75% Simplified: 7/16
Fraction to decimal table
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.(3) |
| 1/4 | 0.25 |
| 1/5 | 0.2 |
| 1/6 | 0.1(6) |
| 1/7 | 0.(142857) |
| 1/8 | 0.125 |
| 1/9 | 0.(1) |
| 1/10 | 0.1 |
| 1/16 | 0.0625 |
| 2/3 | 0.(6) |
| 3/4 | 0.75 |
| 5/8 | 0.625 |
| 7/8 | 0.875 |
Limitations and assumptions
Computed in your browser with standard double-precision arithmetic unless the page says otherwise. Very large or very small values may be rounded.
Frequently asked questions
What is 1/8 as a decimal?
0.125.
What is 2/3 as a decimal?
0.(6), that is 0.666… repeating. Rounded to two places it is 0.67.
Why does 1/3 never end as a decimal?
Because 3 does not divide any power of 10 evenly, the division leaves the same remainder again and again, so the digit 3 repeats forever.