61/72 as a decimal
61/72 as a decimal is 0.847222… (the digits 2 repeat forever), which is 0.85 rounded to 2 decimal places.
Change either number to try your own. The digits 2 repeat. Rounded to 2 places: 0.85. In lowest terms: 61/72.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 61 by the bottom number 72.
- 2
72 does not go into 61 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 2 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{61}{72} = 0.847\overline{2} \]
\[ \frac{61}{72} = 61 \div 72 \]Long division of 61 by 72
| Step | Remainder × 10 | Divide by 72 | Remainder left |
|---|---|---|---|
| 1 | 610 | 610 ÷ 72 = 8 | 34 |
| 2 | 340 | 340 ÷ 72 = 4 | 52 |
| 3 | 520 | 520 ÷ 72 = 7 | 16 |
| 4 | 160 | 160 ÷ 72 = 2 | 16 |
Questions
What is 61/72 as a decimal?
61/72 as a decimal is 0.847222… (the digits 2 repeat forever), which is 0.85 rounded to 2 decimal places.
Is 61/72 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 2 (1 digit) repeats.
What is 61/72 as a percent?
61/72 is 84.722222…% as a percent.
How do I round 61/72 to 2 decimal places?
61/72 rounded to 2 decimal places is 0.85.