71/89 as a decimal
71/89 as a decimal is 0.79775280898876404494382022471910112359550561… (the digits 79775280898876404494382022471910112359550561 repeat forever), which is 0.80 rounded to 2 decimal places.
Change either number to try your own. The digits 79775280898876404494382022471910112359550561 repeat. Rounded to 2 places: 0.80. In lowest terms: 71/89.
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 89.
- 2
89 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 89, and write the digit. A remainder comes back after 44 steps, so the digits 79775280898876404494382022471910112359550561 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{89} = 0.\overline{79775280898876404494382022471910112359550561} \]
\[ \frac{71}{89} = 71 \div 89 \]Long division of 71 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 89 = 7 | 87 |
| 2 | 870 | 870 ÷ 89 = 9 | 69 |
| 3 | 690 | 690 ÷ 89 = 7 | 67 |
| 4 | 670 | 670 ÷ 89 = 7 | 47 |
| 5 | 470 | 470 ÷ 89 = 5 | 25 |
| 6 | 250 | 250 ÷ 89 = 2 | 72 |
| 7 | 720 | 720 ÷ 89 = 8 | 8 |
| 8 | 80 | 80 ÷ 89 = 0 | 80 |
| 9 | 800 | 800 ÷ 89 = 8 | 88 |
| 10 | 880 | 880 ÷ 89 = 9 | 79 |
| 11 | 790 | 790 ÷ 89 = 8 | 78 |
| 12 | 780 | 780 ÷ 89 = 8 | 68 |
Questions
What is 71/89 as a decimal?
71/89 as a decimal is 0.79775280898876404494382022471910112359550561… (the digits 79775280898876404494382022471910112359550561 repeat forever), which is 0.80 rounded to 2 decimal places.
Is 71/89 a terminating or a repeating decimal?
It repeats. The bottom number 89 = 89 has a prime factor other than 2 and 5, so the division never ends and the block 79775280898876404494382022471910112359550561 (44 digits) repeats.
What is 71/89 as a percent?
71/89 is 79.77528089887640449438202247191011235955056179…% as a percent.
How do I round 71/89 to 2 decimal places?
71/89 rounded to 2 decimal places is 0.80.