71/72 as a decimal
71/72 as a decimal is 0.986111… (the digits 1 repeat forever), which is 0.99 rounded to 2 decimal places.
Change either number to try your own. The digits 1 repeat. Rounded to 2 places: 0.99. In lowest terms: 71/72.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 71 by the bottom number 72.
- 2
72 does not go into 71 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 1 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{72} = 0.986\overline{1} \]
\[ \frac{71}{72} = 71 \div 72 \]Long division of 71 by 72
| Step | Remainder × 10 | Divide by 72 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 72 = 9 | 62 |
| 2 | 620 | 620 ÷ 72 = 8 | 44 |
| 3 | 440 | 440 ÷ 72 = 6 | 8 |
| 4 | 80 | 80 ÷ 72 = 1 | 8 |
Questions
What is 71/72 as a decimal?
71/72 as a decimal is 0.986111… (the digits 1 repeat forever), which is 0.99 rounded to 2 decimal places.
Is 71/72 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 1 (1 digit) repeats.
What is 71/72 as a percent?
71/72 is 98.611111…% as a percent.
How do I round 71/72 to 2 decimal places?
71/72 rounded to 2 decimal places is 0.99.