65/82 as a decimal
65/82 as a decimal is 0.792682… (the digits 92682 repeat forever), which is 0.79 rounded to 2 decimal places.
Change either number to try your own. The digits 92682 repeat. Rounded to 2 places: 0.79. In lowest terms: 65/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 65 by the bottom number 82.
- 2
82 does not go into 65 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 92682 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{65}{82} = 0.7\overline{92682} \]
\[ \frac{65}{82} = 65 \div 82 \]Long division of 65 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 650 | 650 ÷ 82 = 7 | 76 |
| 2 | 760 | 760 ÷ 82 = 9 | 22 |
| 3 | 220 | 220 ÷ 82 = 2 | 56 |
| 4 | 560 | 560 ÷ 82 = 6 | 68 |
| 5 | 680 | 680 ÷ 82 = 8 | 24 |
| 6 | 240 | 240 ÷ 82 = 2 | 76 |
Questions
What is 65/82 as a decimal?
65/82 as a decimal is 0.792682… (the digits 92682 repeat forever), which is 0.79 rounded to 2 decimal places.
Is 65/82 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 92682 (5 digits) repeats.
What is 65/82 as a percent?
65/82 is 79.268292…% as a percent.
How do I round 65/82 to 2 decimal places?
65/82 rounded to 2 decimal places is 0.79.