31/88 as a decimal
31/88 as a decimal is 0.352272… (the digits 27 repeat forever), which is 0.35 rounded to 2 decimal places.
Change either number to try your own. The digits 27 repeat. Rounded to 2 places: 0.35. In lowest terms: 31/88.
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 88.
- 2
88 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 88, and write the digit. A remainder comes back after 5 steps, so the digits 27 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{88} = 0.352\overline{27} \]
\[ \frac{31}{88} = 31 \div 88 \]Long division of 31 by 88
| Step | Remainder × 10 | Divide by 88 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 88 = 3 | 46 |
| 2 | 460 | 460 ÷ 88 = 5 | 20 |
| 3 | 200 | 200 ÷ 88 = 2 | 24 |
| 4 | 240 | 240 ÷ 88 = 2 | 64 |
| 5 | 640 | 640 ÷ 88 = 7 | 24 |
Questions
What is 31/88 as a decimal?
31/88 as a decimal is 0.352272… (the digits 27 repeat forever), which is 0.35 rounded to 2 decimal places.
Is 31/88 a terminating or a repeating decimal?
It repeats. The bottom number 88 = 2 × 2 × 2 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 27 (2 digits) repeats.
What is 31/88 as a percent?
31/88 is 35.227272…% as a percent.
How do I round 31/88 to 2 decimal places?
31/88 rounded to 2 decimal places is 0.35.