7/31 as a decimal
7/31 as a decimal is 0.225806451612903… (the digits 225806451612903 repeat forever), which is 0.23 rounded to 2 decimal places.
Change either number to try your own. The digits 225806451612903 repeat. Rounded to 2 places: 0.23. In lowest terms: 7/31.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 31.
- 2
31 does not go into 7 even once, so the whole part is 0 and we carry on after the decimal point.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 31, and write the digit. A remainder comes back after 15 steps, so the digits 225806451612903 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{31} = 0.\overline{225806451612903} \]
\[ \frac{7}{31} = 7 \div 31 \]Long division of 7 by 31
| Step | Remainder × 10 | Divide by 31 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 31 = 2 | 8 |
| 2 | 80 | 80 ÷ 31 = 2 | 18 |
| 3 | 180 | 180 ÷ 31 = 5 | 25 |
| 4 | 250 | 250 ÷ 31 = 8 | 2 |
| 5 | 20 | 20 ÷ 31 = 0 | 20 |
| 6 | 200 | 200 ÷ 31 = 6 | 14 |
| 7 | 140 | 140 ÷ 31 = 4 | 16 |
| 8 | 160 | 160 ÷ 31 = 5 | 5 |
| 9 | 50 | 50 ÷ 31 = 1 | 19 |
| 10 | 190 | 190 ÷ 31 = 6 | 4 |
| 11 | 40 | 40 ÷ 31 = 1 | 9 |
| 12 | 90 | 90 ÷ 31 = 2 | 28 |
Questions
What is 7/31 as a decimal?
7/31 as a decimal is 0.225806451612903… (the digits 225806451612903 repeat forever), which is 0.23 rounded to 2 decimal places.
Is 7/31 a terminating or a repeating decimal?
It repeats. The bottom number 31 = 31 has a prime factor other than 2 and 5, so the division never ends and the block 225806451612903 (15 digits) repeats.
What is 7/31 as a percent?
7/31 is 22.580645161290322…% as a percent.
How do I round 7/31 to 2 decimal places?
7/31 rounded to 2 decimal places is 0.23.