7/82 as a decimal
7/82 as a decimal is 0.085365… (the digits 85365 repeat forever), which is 0.09 rounded to 2 decimal places.
Change either number to try your own. The digits 85365 repeat. Rounded to 2 places: 0.09. In lowest terms: 7/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 82.
- 2
82 does not go into 7 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 85365 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{82} = 0.0\overline{85365} \]
\[ \frac{7}{82} = 7 \div 82 \]Long division of 7 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 82 = 0 | 70 |
| 2 | 700 | 700 ÷ 82 = 8 | 44 |
| 3 | 440 | 440 ÷ 82 = 5 | 30 |
| 4 | 300 | 300 ÷ 82 = 3 | 54 |
| 5 | 540 | 540 ÷ 82 = 6 | 48 |
| 6 | 480 | 480 ÷ 82 = 5 | 70 |
Questions
What is 7/82 as a decimal?
7/82 as a decimal is 0.085365… (the digits 85365 repeat forever), which is 0.09 rounded to 2 decimal places.
Is 7/82 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 85365 (5 digits) repeats.
What is 7/82 as a percent?
7/82 is 8.536585…% as a percent.
How do I round 7/82 to 2 decimal places?
7/82 rounded to 2 decimal places is 0.09.