21/82 as a decimal
21/82 as a decimal is 0.256097… (the digits 56097 repeat forever), which is 0.26 rounded to 2 decimal places.
Change either number to try your own. The digits 56097 repeat. Rounded to 2 places: 0.26. In lowest terms: 21/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 21 by the bottom number 82.
- 2
82 does not go into 21 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 56097 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{82} = 0.2\overline{56097} \]
\[ \frac{21}{82} = 21 \div 82 \]Long division of 21 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 82 = 2 | 46 |
| 2 | 460 | 460 ÷ 82 = 5 | 50 |
| 3 | 500 | 500 ÷ 82 = 6 | 8 |
| 4 | 80 | 80 ÷ 82 = 0 | 80 |
| 5 | 800 | 800 ÷ 82 = 9 | 62 |
| 6 | 620 | 620 ÷ 82 = 7 | 46 |
Questions
What is 21/82 as a decimal?
21/82 as a decimal is 0.256097… (the digits 56097 repeat forever), which is 0.26 rounded to 2 decimal places.
Is 21/82 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 56097 (5 digits) repeats.
What is 21/82 as a percent?
21/82 is 25.609756…% as a percent.
How do I round 21/82 to 2 decimal places?
21/82 rounded to 2 decimal places is 0.26.