76/89 as a decimal
76/89 as a decimal is 0.85393258426966292134831460674157303370786516… (the digits 85393258426966292134831460674157303370786516 repeat forever), which is 0.85 rounded to 2 decimal places.
Change either number to try your own. The digits 85393258426966292134831460674157303370786516 repeat. Rounded to 2 places: 0.85. In lowest terms: 76/89.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 76 by the bottom number 89.
- 2
89 does not go into 76 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 85393258426966292134831460674157303370786516 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{76}{89} = 0.\overline{85393258426966292134831460674157303370786516} \]
\[ \frac{76}{89} = 76 \div 89 \]Long division of 76 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 760 | 760 ÷ 89 = 8 | 48 |
| 2 | 480 | 480 ÷ 89 = 5 | 35 |
| 3 | 350 | 350 ÷ 89 = 3 | 83 |
| 4 | 830 | 830 ÷ 89 = 9 | 29 |
| 5 | 290 | 290 ÷ 89 = 3 | 23 |
| 6 | 230 | 230 ÷ 89 = 2 | 52 |
| 7 | 520 | 520 ÷ 89 = 5 | 75 |
| 8 | 750 | 750 ÷ 89 = 8 | 38 |
| 9 | 380 | 380 ÷ 89 = 4 | 24 |
| 10 | 240 | 240 ÷ 89 = 2 | 62 |
| 11 | 620 | 620 ÷ 89 = 6 | 86 |
| 12 | 860 | 860 ÷ 89 = 9 | 59 |
Questions
What is 76/89 as a decimal?
76/89 as a decimal is 0.85393258426966292134831460674157303370786516… (the digits 85393258426966292134831460674157303370786516 repeat forever), which is 0.85 rounded to 2 decimal places.
Is 76/89 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 85393258426966292134831460674157303370786516 (44 digits) repeats.
What is 76/89 as a percent?
76/89 is 85.39325842696629213483146067415730337078651685…% as a percent.
How do I round 76/89 to 2 decimal places?
76/89 rounded to 2 decimal places is 0.85.