77/82 as a decimal
77/82 as a decimal is 0.939024… (the digits 39024 repeat forever), which is 0.94 rounded to 2 decimal places.
Change either number to try your own. The digits 39024 repeat. Rounded to 2 places: 0.94. In lowest terms: 77/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 77 by the bottom number 82.
- 2
82 does not go into 77 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 39024 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{77}{82} = 0.9\overline{39024} \]
\[ \frac{77}{82} = 77 \div 82 \]Long division of 77 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 770 | 770 ÷ 82 = 9 | 32 |
| 2 | 320 | 320 ÷ 82 = 3 | 74 |
| 3 | 740 | 740 ÷ 82 = 9 | 2 |
| 4 | 20 | 20 ÷ 82 = 0 | 20 |
| 5 | 200 | 200 ÷ 82 = 2 | 36 |
| 6 | 360 | 360 ÷ 82 = 4 | 32 |
Questions
What is 77/82 as a decimal?
77/82 as a decimal is 0.939024… (the digits 39024 repeat forever), which is 0.94 rounded to 2 decimal places.
Is 77/82 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 39024 (5 digits) repeats.
What is 77/82 as a percent?
77/82 is 93.902439…% as a percent.
How do I round 77/82 to 2 decimal places?
77/82 rounded to 2 decimal places is 0.94.