71/88 as a decimal
71/88 as a decimal is 0.806818… (the digits 81 repeat forever), which is 0.81 rounded to 2 decimal places.
Change either number to try your own. The digits 81 repeat. Rounded to 2 places: 0.81. In lowest terms: 71/88.
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 88.
- 2
88 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 88, and write the digit. A remainder comes back after 5 steps, so the digits 81 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{88} = 0.806\overline{81} \]
\[ \frac{71}{88} = 71 \div 88 \]Long division of 71 by 88
| Step | Remainder × 10 | Divide by 88 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 88 = 8 | 6 |
| 2 | 60 | 60 ÷ 88 = 0 | 60 |
| 3 | 600 | 600 ÷ 88 = 6 | 72 |
| 4 | 720 | 720 ÷ 88 = 8 | 16 |
| 5 | 160 | 160 ÷ 88 = 1 | 72 |
Questions
What is 71/88 as a decimal?
71/88 as a decimal is 0.806818… (the digits 81 repeat forever), which is 0.81 rounded to 2 decimal places.
Is 71/88 a terminating or a repeating decimal?
It repeats. The bottom number 88 = 2 × 2 × 2 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 81 (2 digits) repeats.
What is 71/88 as a percent?
71/88 is 80.681818…% as a percent.
How do I round 71/88 to 2 decimal places?
71/88 rounded to 2 decimal places is 0.81.