21/31 as a decimal
21/31 as a decimal is 0.677419354838709… (the digits 677419354838709 repeat forever), which is 0.68 rounded to 2 decimal places.
Change either number to try your own. The digits 677419354838709 repeat. Rounded to 2 places: 0.68. In lowest terms: 21/31.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 21 by the bottom number 31.
- 2
31 does not go into 21 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 677419354838709 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{31} = 0.\overline{677419354838709} \]
\[ \frac{21}{31} = 21 \div 31 \]Long division of 21 by 31
| Step | Remainder × 10 | Divide by 31 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 31 = 6 | 24 |
| 2 | 240 | 240 ÷ 31 = 7 | 23 |
| 3 | 230 | 230 ÷ 31 = 7 | 13 |
| 4 | 130 | 130 ÷ 31 = 4 | 6 |
| 5 | 60 | 60 ÷ 31 = 1 | 29 |
| 6 | 290 | 290 ÷ 31 = 9 | 11 |
| 7 | 110 | 110 ÷ 31 = 3 | 17 |
| 8 | 170 | 170 ÷ 31 = 5 | 15 |
| 9 | 150 | 150 ÷ 31 = 4 | 26 |
| 10 | 260 | 260 ÷ 31 = 8 | 12 |
| 11 | 120 | 120 ÷ 31 = 3 | 27 |
| 12 | 270 | 270 ÷ 31 = 8 | 22 |
Questions
What is 21/31 as a decimal?
21/31 as a decimal is 0.677419354838709… (the digits 677419354838709 repeat forever), which is 0.68 rounded to 2 decimal places.
Is 21/31 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 677419354838709 (15 digits) repeats.
What is 21/31 as a percent?
21/31 is 67.741935483870967…% as a percent.
How do I round 21/31 to 2 decimal places?
21/31 rounded to 2 decimal places is 0.68.