59/72 as a decimal
59/72 as a decimal is 0.819444… (the digits 4 repeat forever), which is 0.82 rounded to 2 decimal places.
Change either number to try your own. The digits 4 repeat. Rounded to 2 places: 0.82. In lowest terms: 59/72.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 59 by the bottom number 72.
- 2
72 does not go into 59 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 4 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{72} = 0.819\overline{4} \]
\[ \frac{59}{72} = 59 \div 72 \]Long division of 59 by 72
| Step | Remainder × 10 | Divide by 72 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 72 = 8 | 14 |
| 2 | 140 | 140 ÷ 72 = 1 | 68 |
| 3 | 680 | 680 ÷ 72 = 9 | 32 |
| 4 | 320 | 320 ÷ 72 = 4 | 32 |
Questions
What is 59/72 as a decimal?
59/72 as a decimal is 0.819444… (the digits 4 repeat forever), which is 0.82 rounded to 2 decimal places.
Is 59/72 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 4 (1 digit) repeats.
What is 59/72 as a percent?
59/72 is 81.944444…% as a percent.
How do I round 59/72 to 2 decimal places?
59/72 rounded to 2 decimal places is 0.82.