71/79 as a decimal
71/79 as a decimal is 0.8987341772151… (the digits 8987341772151 repeat forever), which is 0.90 rounded to 2 decimal places.
Change either number to try your own. The digits 8987341772151 repeat. Rounded to 2 places: 0.90. In lowest terms: 71/79.
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 79.
- 2
79 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 79, and write the digit. A remainder comes back after 13 steps, so the digits 8987341772151 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{79} = 0.\overline{8987341772151} \]
\[ \frac{71}{79} = 71 \div 79 \]Long division of 71 by 79
| Step | Remainder × 10 | Divide by 79 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 79 = 8 | 78 |
| 2 | 780 | 780 ÷ 79 = 9 | 69 |
| 3 | 690 | 690 ÷ 79 = 8 | 58 |
| 4 | 580 | 580 ÷ 79 = 7 | 27 |
| 5 | 270 | 270 ÷ 79 = 3 | 33 |
| 6 | 330 | 330 ÷ 79 = 4 | 14 |
| 7 | 140 | 140 ÷ 79 = 1 | 61 |
| 8 | 610 | 610 ÷ 79 = 7 | 57 |
| 9 | 570 | 570 ÷ 79 = 7 | 17 |
| 10 | 170 | 170 ÷ 79 = 2 | 12 |
| 11 | 120 | 120 ÷ 79 = 1 | 41 |
| 12 | 410 | 410 ÷ 79 = 5 | 15 |
Questions
What is 71/79 as a decimal?
71/79 as a decimal is 0.8987341772151… (the digits 8987341772151 repeat forever), which is 0.90 rounded to 2 decimal places.
Is 71/79 a terminating or a repeating decimal?
It repeats. The bottom number 79 = 79 has a prime factor other than 2 and 5, so the division never ends and the block 8987341772151 (13 digits) repeats.
What is 71/79 as a percent?
71/79 is 89.8734177215189…% as a percent.
How do I round 71/79 to 2 decimal places?
71/79 rounded to 2 decimal places is 0.90.