59/77 as a decimal
59/77 as a decimal is 0.766233… (the digits 766233 repeat forever), which is 0.77 rounded to 2 decimal places.
Change either number to try your own. The digits 766233 repeat. Rounded to 2 places: 0.77. In lowest terms: 59/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 59 by the bottom number 77.
- 2
77 does not go into 59 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 77, and write the digit. A remainder comes back after 6 steps, so the digits 766233 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{77} = 0.\overline{766233} \]
\[ \frac{59}{77} = 59 \div 77 \]Long division of 59 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 77 = 7 | 51 |
| 2 | 510 | 510 ÷ 77 = 6 | 48 |
| 3 | 480 | 480 ÷ 77 = 6 | 18 |
| 4 | 180 | 180 ÷ 77 = 2 | 26 |
| 5 | 260 | 260 ÷ 77 = 3 | 29 |
| 6 | 290 | 290 ÷ 77 = 3 | 59 |
Questions
What is 59/77 as a decimal?
59/77 as a decimal is 0.766233… (the digits 766233 repeat forever), which is 0.77 rounded to 2 decimal places.
Is 59/77 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 766233 (6 digits) repeats.
What is 59/77 as a percent?
59/77 is 76.623376…% as a percent.
How do I round 59/77 to 2 decimal places?
59/77 rounded to 2 decimal places is 0.77.