82/97 as a decimal
82/97 as a decimal is 0.845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494… (the digits 845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494 repeat forever), which is 0.85 rounded to 2 decimal places.
Change either number to try your own. The digits 845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494 repeat. Rounded to 2 places: 0.85. In lowest terms: 82/97.
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 97.
- 2
97 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 97, and write the digit. A remainder comes back after 96 steps, so the digits 845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{82}{97} = 0.\overline{845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494} \]
\[ \frac{82}{97} = 82 \div 97 \]Long division of 82 by 97
| Step | Remainder × 10 | Divide by 97 | Remainder left |
|---|---|---|---|
| 1 | 820 | 820 ÷ 97 = 8 | 44 |
| 2 | 440 | 440 ÷ 97 = 4 | 52 |
| 3 | 520 | 520 ÷ 97 = 5 | 35 |
| 4 | 350 | 350 ÷ 97 = 3 | 59 |
| 5 | 590 | 590 ÷ 97 = 6 | 8 |
| 6 | 80 | 80 ÷ 97 = 0 | 80 |
| 7 | 800 | 800 ÷ 97 = 8 | 24 |
| 8 | 240 | 240 ÷ 97 = 2 | 46 |
| 9 | 460 | 460 ÷ 97 = 4 | 72 |
| 10 | 720 | 720 ÷ 97 = 7 | 41 |
| 11 | 410 | 410 ÷ 97 = 4 | 22 |
| 12 | 220 | 220 ÷ 97 = 2 | 26 |
Questions
What is 82/97 as a decimal?
82/97 as a decimal is 0.845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494… (the digits 845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494 repeat forever), which is 0.85 rounded to 2 decimal places.
Is 82/97 a terminating or a repeating decimal?
It repeats. The bottom number 97 = 97 has a prime factor other than 2 and 5, so the division never ends and the block 845360824742268041237113402061855670103092783505154639175257731958762886597938144329896907216494 (96 digits) repeats.
What is 82/97 as a percent?
82/97 is 84.536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484…% as a percent.
How do I round 82/97 to 2 decimal places?
82/97 rounded to 2 decimal places is 0.85.