77/89 as a decimal
77/89 as a decimal is 0.86516853932584269662921348314606741573033707… (the digits 86516853932584269662921348314606741573033707 repeat forever), which is 0.87 rounded to 2 decimal places.
Change either number to try your own. The digits 86516853932584269662921348314606741573033707 repeat. Rounded to 2 places: 0.87. In lowest terms: 77/89.
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 89.
- 2
89 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 89, and write the digit. A remainder comes back after 44 steps, so the digits 86516853932584269662921348314606741573033707 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{77}{89} = 0.\overline{86516853932584269662921348314606741573033707} \]
\[ \frac{77}{89} = 77 \div 89 \]Long division of 77 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 770 | 770 ÷ 89 = 8 | 58 |
| 2 | 580 | 580 ÷ 89 = 6 | 46 |
| 3 | 460 | 460 ÷ 89 = 5 | 15 |
| 4 | 150 | 150 ÷ 89 = 1 | 61 |
| 5 | 610 | 610 ÷ 89 = 6 | 76 |
| 6 | 760 | 760 ÷ 89 = 8 | 48 |
| 7 | 480 | 480 ÷ 89 = 5 | 35 |
| 8 | 350 | 350 ÷ 89 = 3 | 83 |
| 9 | 830 | 830 ÷ 89 = 9 | 29 |
| 10 | 290 | 290 ÷ 89 = 3 | 23 |
| 11 | 230 | 230 ÷ 89 = 2 | 52 |
| 12 | 520 | 520 ÷ 89 = 5 | 75 |
Questions
What is 77/89 as a decimal?
77/89 as a decimal is 0.86516853932584269662921348314606741573033707… (the digits 86516853932584269662921348314606741573033707 repeat forever), which is 0.87 rounded to 2 decimal places.
Is 77/89 a terminating or a repeating decimal?
It repeats. The bottom number 89 = 89 has a prime factor other than 2 and 5, so the division never ends and the block 86516853932584269662921348314606741573033707 (44 digits) repeats.
What is 77/89 as a percent?
77/89 is 86.51685393258426966292134831460674157303370786…% as a percent.
How do I round 77/89 to 2 decimal places?
77/89 rounded to 2 decimal places is 0.87.