How to use it
- Type a fraction such as 6/7, a mixed number such as 1 3/4, or a negative fraction such as -5/8.
- Read the decimal, the percent and each step of the long division.
- If the decimal repeats, the repeating block is marked with a bar.
How to convert a fraction to a decimal
Divide the numerator (top) by the denominator (bottom). For 3/8, 3 ÷ 8 = 0.375. To get a percent, multiply the decimal by 100: 0.375 × 100 = 37.5%.
Terminating and repeating decimals
A fraction in lowest terms gives a terminating decimal only when its denominator has no prime factors other than 2 and 5. So 3/8 = 0.375 ends, while 1/3 = 0.333… repeats forever.
In long division, a decimal starts repeating as soon as a remainder appears for the second time. The calculator tracks the remainders to find exactly where the repeat begins.
Common fractions as decimals and percents
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.33% |
| 2/3 | 0.666… | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 5/6 | 0.8333… | 83.33% |
| 6/7 | 0.857142… | 85.71% |
| 7/10 | 0.7 | 70% |
Frequently asked questions
What is 6/7 as a decimal and percent?
6/7 = 0.857142857142…, where the block 857142 repeats forever. As a percent it is about 85.71%.
What is 1/3 as a percent?
1/3 = 0.333…, which is 33.33% rounded, or exactly 33⅓%.
Can I convert mixed numbers?
Yes. Type them with a space, for example 2 3/4. The calculator treats it as 11/4 = 2.75 = 275%.
How do I convert a decimal back to a fraction?
Use the Decimal to Fraction Calculator. It also handles repeating decimals written like 0.1(6).