82/83 as a decimal
82/83 as a decimal is 0.98795180722891566265060240963855421686746… (the digits 98795180722891566265060240963855421686746 repeat forever), which is 0.99 rounded to 2 decimal places.
Change either number to try your own. The digits 98795180722891566265060240963855421686746 repeat. Rounded to 2 places: 0.99. In lowest terms: 82/83.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 82 by the bottom number 83.
- 2
83 does not go into 82 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 98795180722891566265060240963855421686746 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{82}{83} = 0.\overline{98795180722891566265060240963855421686746} \]
\[ \frac{82}{83} = 82 \div 83 \]Long division of 82 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 820 | 820 ÷ 83 = 9 | 73 |
| 2 | 730 | 730 ÷ 83 = 8 | 66 |
| 3 | 660 | 660 ÷ 83 = 7 | 79 |
| 4 | 790 | 790 ÷ 83 = 9 | 43 |
| 5 | 430 | 430 ÷ 83 = 5 | 15 |
| 6 | 150 | 150 ÷ 83 = 1 | 67 |
| 7 | 670 | 670 ÷ 83 = 8 | 6 |
| 8 | 60 | 60 ÷ 83 = 0 | 60 |
| 9 | 600 | 600 ÷ 83 = 7 | 19 |
| 10 | 190 | 190 ÷ 83 = 2 | 24 |
| 11 | 240 | 240 ÷ 83 = 2 | 74 |
| 12 | 740 | 740 ÷ 83 = 8 | 76 |
Questions
What is 82/83 as a decimal?
82/83 as a decimal is 0.98795180722891566265060240963855421686746… (the digits 98795180722891566265060240963855421686746 repeat forever), which is 0.99 rounded to 2 decimal places.
Is 82/83 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 98795180722891566265060240963855421686746 (41 digits) repeats.
What is 82/83 as a percent?
82/83 is 98.79518072289156626506024096385542168674698…% as a percent.
How do I round 82/83 to 2 decimal places?
82/83 rounded to 2 decimal places is 0.99.