31/84 as a decimal
31/84 as a decimal is 0.36904761… (the digits 904761 repeat forever), which is 0.37 rounded to 2 decimal places.
Change either number to try your own. The digits 904761 repeat. Rounded to 2 places: 0.37. In lowest terms: 31/84.
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 84.
- 2
84 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 84, and write the digit. A remainder comes back after 8 steps, so the digits 904761 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{84} = 0.36\overline{904761} \]
\[ \frac{31}{84} = 31 \div 84 \]Long division of 31 by 84
| Step | Remainder × 10 | Divide by 84 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 84 = 3 | 58 |
| 2 | 580 | 580 ÷ 84 = 6 | 76 |
| 3 | 760 | 760 ÷ 84 = 9 | 4 |
| 4 | 40 | 40 ÷ 84 = 0 | 40 |
| 5 | 400 | 400 ÷ 84 = 4 | 64 |
| 6 | 640 | 640 ÷ 84 = 7 | 52 |
| 7 | 520 | 520 ÷ 84 = 6 | 16 |
| 8 | 160 | 160 ÷ 84 = 1 | 76 |
Questions
What is 31/84 as a decimal?
31/84 as a decimal is 0.36904761… (the digits 904761 repeat forever), which is 0.37 rounded to 2 decimal places.
Is 31/84 a terminating or a repeating decimal?
It repeats. The bottom number 84 = 2 × 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 904761 (6 digits) repeats.
What is 31/84 as a percent?
31/84 is 36.904761…% as a percent.
How do I round 31/84 to 2 decimal places?
31/84 rounded to 2 decimal places is 0.37.