Fraction to decimal chart
The decimal equivalents of the most common fractions, from halves to hundredths. Some fractions give exact decimals while others repeat forever; both are shown so you can convert at a glance or round as needed.
Common fractions and their decimals
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.3333… (repeating) |
| 2/3 | 0.6667 (repeating) |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.1667 (repeating) |
| 5/6 | 0.8333 (repeating) |
| 1/7 | 0.142857… (repeating) |
| 1/8 | 0.125 |
| 3/8 | 0.375 |
| 5/8 | 0.625 |
| 7/8 | 0.875 |
| 1/9 | 0.1111… (repeating) |
| 1/10 | 0.1 |
| 1/12 | 0.0833 (repeating) |
| 1/16 | 0.0625 |
| 1/20 | 0.05 |
| 1/32 | 0.03125 |
| 1/100 | 0.01 |
To convert any fraction to a decimal, divide the top number by the bottom number. A fraction gives a terminating decimal only when its denominator (in lowest terms) has no prime factors other than 2 and 5; otherwise the decimal repeats, like one third becoming 0.3333 forever.
Need percentages or a fraction tool?
See the Fraction to Percentage Chart, or use the math calculators for custom fractions.
How to convert a fraction to a decimal
Divide the numerator by the denominator. Three quarters is 3 divided by 4, which equals 0.75. If the division does not come out evenly, the decimal either repeats a pattern, like one third giving 0.333, or runs on without repeating only for irrational numbers, which fractions never produce.
Terminating vs repeating decimals
A fraction in lowest terms terminates when its denominator factors into only twos and fives, since those match the base-ten system. One eighth (denominator 8, which is two cubed) terminates at 0.125, while one sixth (denominator 6, which includes a three) repeats. Recognizing this tells you in advance whether a clean decimal exists.
FAQ
What is 1/3 as a decimal?
0.3333…, a repeating decimal. The threes continue forever, so it is often rounded to 0.33 or written with a bar over the 3.
How do I turn a fraction into a decimal?
Divide the top number by the bottom number. For 5/8, compute 5 divided by 8 to get 0.625.
Why do some fractions repeat?
A fraction repeats when its denominator has prime factors other than 2 and 5. Those denominators do not divide evenly into powers of ten, so the decimal never terminates.