31/37 as a decimal
31/37 as a decimal is 0.837837… (the digits 837 repeat forever), which is 0.84 rounded to 2 decimal places.
Change either number to try your own. The digits 837 repeat. Rounded to 2 places: 0.84. In lowest terms: 31/37.
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 37.
- 2
37 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 37, and write the digit. A remainder comes back after 3 steps, so the digits 837 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{37} = 0.\overline{837} \]
\[ \frac{31}{37} = 31 \div 37 \]Long division of 31 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 37 = 8 | 14 |
| 2 | 140 | 140 ÷ 37 = 3 | 29 |
| 3 | 290 | 290 ÷ 37 = 7 | 31 |
Questions
What is 31/37 as a decimal?
31/37 as a decimal is 0.837837… (the digits 837 repeat forever), which is 0.84 rounded to 2 decimal places.
Is 31/37 a terminating or a repeating decimal?
It repeats. The bottom number 37 = 37 has a prime factor other than 2 and 5, so the division never ends and the block 837 (3 digits) repeats.
What is 31/37 as a percent?
31/37 is 83.783783…% as a percent.
How do I round 31/37 to 2 decimal places?
31/37 rounded to 2 decimal places is 0.84.