71/83 as a decimal
71/83 as a decimal is 0.85542168674698795180722891566265060240963… (the digits 85542168674698795180722891566265060240963 repeat forever), which is 0.86 rounded to 2 decimal places.
Change either number to try your own. The digits 85542168674698795180722891566265060240963 repeat. Rounded to 2 places: 0.86. In lowest terms: 71/83.
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 83.
- 2
83 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 85542168674698795180722891566265060240963 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{83} = 0.\overline{85542168674698795180722891566265060240963} \]
\[ \frac{71}{83} = 71 \div 83 \]Long division of 71 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 83 = 8 | 46 |
| 2 | 460 | 460 ÷ 83 = 5 | 45 |
| 3 | 450 | 450 ÷ 83 = 5 | 35 |
| 4 | 350 | 350 ÷ 83 = 4 | 18 |
| 5 | 180 | 180 ÷ 83 = 2 | 14 |
| 6 | 140 | 140 ÷ 83 = 1 | 57 |
| 7 | 570 | 570 ÷ 83 = 6 | 72 |
| 8 | 720 | 720 ÷ 83 = 8 | 56 |
| 9 | 560 | 560 ÷ 83 = 6 | 62 |
| 10 | 620 | 620 ÷ 83 = 7 | 39 |
| 11 | 390 | 390 ÷ 83 = 4 | 58 |
| 12 | 580 | 580 ÷ 83 = 6 | 82 |
Questions
What is 71/83 as a decimal?
71/83 as a decimal is 0.85542168674698795180722891566265060240963… (the digits 85542168674698795180722891566265060240963 repeat forever), which is 0.86 rounded to 2 decimal places.
Is 71/83 a terminating or a repeating decimal?
It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 85542168674698795180722891566265060240963 (41 digits) repeats.
What is 71/83 as a percent?
71/83 is 85.54216867469879518072289156626506024096385…% as a percent.
How do I round 71/83 to 2 decimal places?
71/83 rounded to 2 decimal places is 0.86.