82/99 as a decimal
82/99 as a decimal is 0.828282… (the digits 82 repeat forever), which is 0.83 rounded to 2 decimal places.
Change either number to try your own. The digits 82 repeat. Rounded to 2 places: 0.83. In lowest terms: 82/99.
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 99.
- 2
99 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 99, and write the digit. A remainder comes back after 2 steps, so the digits 82 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{82}{99} = 0.\overline{82} \]
\[ \frac{82}{99} = 82 \div 99 \]Long division of 82 by 99
| Step | Remainder × 10 | Divide by 99 | Remainder left |
|---|---|---|---|
| 1 | 820 | 820 ÷ 99 = 8 | 28 |
| 2 | 280 | 280 ÷ 99 = 2 | 82 |
Questions
What is 82/99 as a decimal?
82/99 as a decimal is 0.828282… (the digits 82 repeat forever), which is 0.83 rounded to 2 decimal places.
Is 82/99 a terminating or a repeating decimal?
It repeats. The bottom number 99 = 3 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 82 (2 digits) repeats.
What is 82/99 as a percent?
82/99 is 82.828282…% as a percent.
How do I round 82/99 to 2 decimal places?
82/99 rounded to 2 decimal places is 0.83.