71/81 as a decimal
71/81 as a decimal is 0.876543209… (the digits 876543209 repeat forever), which is 0.88 rounded to 2 decimal places.
Change either number to try your own. The digits 876543209 repeat. Rounded to 2 places: 0.88. In lowest terms: 71/81.
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 81.
- 2
81 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 81, and write the digit. A remainder comes back after 9 steps, so the digits 876543209 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{81} = 0.\overline{876543209} \]
\[ \frac{71}{81} = 71 \div 81 \]Long division of 71 by 81
| Step | Remainder × 10 | Divide by 81 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 81 = 8 | 62 |
| 2 | 620 | 620 ÷ 81 = 7 | 53 |
| 3 | 530 | 530 ÷ 81 = 6 | 44 |
| 4 | 440 | 440 ÷ 81 = 5 | 35 |
| 5 | 350 | 350 ÷ 81 = 4 | 26 |
| 6 | 260 | 260 ÷ 81 = 3 | 17 |
| 7 | 170 | 170 ÷ 81 = 2 | 8 |
| 8 | 80 | 80 ÷ 81 = 0 | 80 |
| 9 | 800 | 800 ÷ 81 = 9 | 71 |
Questions
What is 71/81 as a decimal?
71/81 as a decimal is 0.876543209… (the digits 876543209 repeat forever), which is 0.88 rounded to 2 decimal places.
Is 71/81 a terminating or a repeating decimal?
It repeats. The bottom number 81 = 3 × 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 876543209 (9 digits) repeats.
What is 71/81 as a percent?
71/81 is 87.654320987…% as a percent.
How do I round 71/81 to 2 decimal places?
71/81 rounded to 2 decimal places is 0.88.