8/77 as a percent
8/77 as a percent is 10.389610…% (the digits 389610 repeat forever), which is 10.39% rounded to 2 decimal places.
Change either number to try your own. The digits 389610 repeat. Rounded to 2 places: 10.39%. In lowest terms: 8/77.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 8/77 × 100 = 800/77. Then divide 800 by 77.
- 2
77 goes into 800 10 times with 30 left over, so the whole part is 10.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 77, and write the digit. A remainder comes back after 6 steps, so the digits 389610 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{8}{77} = 10.\overline{389610}\% \]
\[ \frac{8}{77} \times 100 = \frac{800}{77} \]Long division of 800 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 300 | 300 ÷ 77 = 3 | 69 |
| 2 | 690 | 690 ÷ 77 = 8 | 74 |
| 3 | 740 | 740 ÷ 77 = 9 | 47 |
| 4 | 470 | 470 ÷ 77 = 6 | 8 |
| 5 | 80 | 80 ÷ 77 = 1 | 3 |
| 6 | 30 | 30 ÷ 77 = 0 | 30 |
Questions
What is 8/77 as a percent?
8/77 as a percent is 10.389610…% (the digits 389610 repeat forever), which is 10.39% rounded to 2 decimal places.
Is 8/77 a terminating or a repeating decimal?
It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 389610 (6 digits) repeats.
What is 8/77 as a decimal?
8/77 is 0.103896… as a decimal.
How do I round 8/77 to 2 decimal places?
8/77 rounded to 2 decimal places is 10.39%.