9/82 as a decimal
9/82 as a decimal is 0.109756… (the digits 09756 repeat forever), which is 0.11 rounded to 2 decimal places.
Change either number to try your own. The digits 09756 repeat. Rounded to 2 places: 0.11. In lowest terms: 9/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 9 by the bottom number 82.
- 2
82 does not go into 9 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 82, and write the digit. A remainder comes back after 6 steps, so the digits 09756 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{9}{82} = 0.1\overline{09756} \]
\[ \frac{9}{82} = 9 \div 82 \]Long division of 9 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 90 | 90 ÷ 82 = 1 | 8 |
| 2 | 80 | 80 ÷ 82 = 0 | 80 |
| 3 | 800 | 800 ÷ 82 = 9 | 62 |
| 4 | 620 | 620 ÷ 82 = 7 | 46 |
| 5 | 460 | 460 ÷ 82 = 5 | 50 |
| 6 | 500 | 500 ÷ 82 = 6 | 8 |
Questions
What is 9/82 as a decimal?
9/82 as a decimal is 0.109756… (the digits 09756 repeat forever), which is 0.11 rounded to 2 decimal places.
Is 9/82 a terminating or a repeating decimal?
It repeats. The bottom number 82 = 2 × 41 has a prime factor other than 2 and 5, so the division never ends and the block 09756 (5 digits) repeats.
What is 9/82 as a percent?
9/82 is 10.975609…% as a percent.
How do I round 9/82 to 2 decimal places?
9/82 rounded to 2 decimal places is 0.11.