31/38 as a decimal
31/38 as a decimal is 0.8157894736842105263… (the digits 157894736842105263 repeat forever), which is 0.82 rounded to 2 decimal places.
Change either number to try your own. The digits 157894736842105263 repeat. Rounded to 2 places: 0.82. In lowest terms: 31/38.
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 38.
- 2
38 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 38, and write the digit. A remainder comes back after 19 steps, so the digits 157894736842105263 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{38} = 0.8\overline{157894736842105263} \]
\[ \frac{31}{38} = 31 \div 38 \]Long division of 31 by 38
| Step | Remainder × 10 | Divide by 38 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 38 = 8 | 6 |
| 2 | 60 | 60 ÷ 38 = 1 | 22 |
| 3 | 220 | 220 ÷ 38 = 5 | 30 |
| 4 | 300 | 300 ÷ 38 = 7 | 34 |
| 5 | 340 | 340 ÷ 38 = 8 | 36 |
| 6 | 360 | 360 ÷ 38 = 9 | 18 |
| 7 | 180 | 180 ÷ 38 = 4 | 28 |
| 8 | 280 | 280 ÷ 38 = 7 | 14 |
| 9 | 140 | 140 ÷ 38 = 3 | 26 |
| 10 | 260 | 260 ÷ 38 = 6 | 32 |
| 11 | 320 | 320 ÷ 38 = 8 | 16 |
| 12 | 160 | 160 ÷ 38 = 4 | 8 |
Questions
What is 31/38 as a decimal?
31/38 as a decimal is 0.8157894736842105263… (the digits 157894736842105263 repeat forever), which is 0.82 rounded to 2 decimal places.
Is 31/38 a terminating or a repeating decimal?
It repeats. The bottom number 38 = 2 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 157894736842105263 (18 digits) repeats.
What is 31/38 as a percent?
31/38 is 81.578947368421052631…% as a percent.
How do I round 31/38 to 2 decimal places?
31/38 rounded to 2 decimal places is 0.82.