17/82 as a decimal
17/82 as a decimal is 0.207317… (the digits 07317 repeat forever), which is 0.21 rounded to 2 decimal places.
Change either number to try your own. The digits 07317 repeat. Rounded to 2 places: 0.21. In lowest terms: 17/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 17 by the bottom number 82.
- 2
82 does not go into 17 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 07317 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{17}{82} = 0.2\overline{07317} \]
\[ \frac{17}{82} = 17 \div 82 \]Long division of 17 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 170 | 170 ÷ 82 = 2 | 6 |
| 2 | 60 | 60 ÷ 82 = 0 | 60 |
| 3 | 600 | 600 ÷ 82 = 7 | 26 |
| 4 | 260 | 260 ÷ 82 = 3 | 14 |
| 5 | 140 | 140 ÷ 82 = 1 | 58 |
| 6 | 580 | 580 ÷ 82 = 7 | 6 |
Questions
What is 17/82 as a decimal?
17/82 as a decimal is 0.207317… (the digits 07317 repeat forever), which is 0.21 rounded to 2 decimal places.
Is 17/82 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 07317 (5 digits) repeats.
What is 17/82 as a percent?
17/82 is 20.731707…% as a percent.
How do I round 17/82 to 2 decimal places?
17/82 rounded to 2 decimal places is 0.21.