31/82 as a decimal
31/82 as a decimal is 0.378048… (the digits 78048 repeat forever), which is 0.38 rounded to 2 decimal places.
Change either number to try your own. The digits 78048 repeat. Rounded to 2 places: 0.38. In lowest terms: 31/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 31 by the bottom number 82.
- 2
82 does not go into 31 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 82, and write the digit. A remainder comes back after 6 steps, so the digits 78048 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{82} = 0.3\overline{78048} \]
\[ \frac{31}{82} = 31 \div 82 \]Long division of 31 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 82 = 3 | 64 |
| 2 | 640 | 640 ÷ 82 = 7 | 66 |
| 3 | 660 | 660 ÷ 82 = 8 | 4 |
| 4 | 40 | 40 ÷ 82 = 0 | 40 |
| 5 | 400 | 400 ÷ 82 = 4 | 72 |
| 6 | 720 | 720 ÷ 82 = 8 | 64 |
Questions
What is 31/82 as a decimal?
31/82 as a decimal is 0.378048… (the digits 78048 repeat forever), which is 0.38 rounded to 2 decimal places.
Is 31/82 a terminating or a repeating decimal?
It repeats. The bottom number 82 = 2 × 41 has a prime factor other than 2 and 5, so the division never ends and the block 78048 (5 digits) repeats.
What is 31/82 as a percent?
31/82 is 37.804878…% as a percent.
How do I round 31/82 to 2 decimal places?
31/82 rounded to 2 decimal places is 0.38.