31/83 as a decimal
31/83 as a decimal is 0.37349397590361445783132530120481927710843… (the digits 37349397590361445783132530120481927710843 repeat forever), which is 0.37 rounded to 2 decimal places.
Change either number to try your own. The digits 37349397590361445783132530120481927710843 repeat. Rounded to 2 places: 0.37. In lowest terms: 31/83.
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 83.
- 2
83 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 37349397590361445783132530120481927710843 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{83} = 0.\overline{37349397590361445783132530120481927710843} \]
\[ \frac{31}{83} = 31 \div 83 \]Long division of 31 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 83 = 3 | 61 |
| 2 | 610 | 610 ÷ 83 = 7 | 29 |
| 3 | 290 | 290 ÷ 83 = 3 | 41 |
| 4 | 410 | 410 ÷ 83 = 4 | 78 |
| 5 | 780 | 780 ÷ 83 = 9 | 33 |
| 6 | 330 | 330 ÷ 83 = 3 | 81 |
| 7 | 810 | 810 ÷ 83 = 9 | 63 |
| 8 | 630 | 630 ÷ 83 = 7 | 49 |
| 9 | 490 | 490 ÷ 83 = 5 | 75 |
| 10 | 750 | 750 ÷ 83 = 9 | 3 |
| 11 | 30 | 30 ÷ 83 = 0 | 30 |
| 12 | 300 | 300 ÷ 83 = 3 | 51 |
Questions
What is 31/83 as a decimal?
31/83 as a decimal is 0.37349397590361445783132530120481927710843… (the digits 37349397590361445783132530120481927710843 repeat forever), which is 0.37 rounded to 2 decimal places.
Is 31/83 a terminating or a repeating decimal?
It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 37349397590361445783132530120481927710843 (41 digits) repeats.
What is 31/83 as a percent?
31/83 is 37.34939759036144578313253012048192771084337…% as a percent.
How do I round 31/83 to 2 decimal places?
31/83 rounded to 2 decimal places is 0.37.