31/72 as a decimal
31/72 as a decimal is 0.430555… (the digits 5 repeat forever), which is 0.43 rounded to 2 decimal places.
Change either number to try your own. The digits 5 repeat. Rounded to 2 places: 0.43. In lowest terms: 31/72.
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 72.
- 2
72 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 72, and write the digit. A remainder comes back after 4 steps, so the digits 5 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{72} = 0.430\overline{5} \]
\[ \frac{31}{72} = 31 \div 72 \]Long division of 31 by 72
| Step | Remainder × 10 | Divide by 72 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 72 = 4 | 22 |
| 2 | 220 | 220 ÷ 72 = 3 | 4 |
| 3 | 40 | 40 ÷ 72 = 0 | 40 |
| 4 | 400 | 400 ÷ 72 = 5 | 40 |
Questions
What is 31/72 as a decimal?
31/72 as a decimal is 0.430555… (the digits 5 repeat forever), which is 0.43 rounded to 2 decimal places.
Is 31/72 a terminating or a repeating decimal?
It repeats. The bottom number 72 = 2 × 2 × 2 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 5 (1 digit) repeats.
What is 31/72 as a percent?
31/72 is 43.055555…% as a percent.
How do I round 31/72 to 2 decimal places?
31/72 rounded to 2 decimal places is 0.43.