76/85 as a decimal
76/85 as a decimal is 0.89411764705882352… (the digits 9411764705882352 repeat forever), which is 0.89 rounded to 2 decimal places.
Change either number to try your own. The digits 9411764705882352 repeat. Rounded to 2 places: 0.89. In lowest terms: 76/85.
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 85.
- 2
85 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 85, and write the digit. A remainder comes back after 17 steps, so the digits 9411764705882352 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{76}{85} = 0.8\overline{9411764705882352} \]
\[ \frac{76}{85} = 76 \div 85 \]Long division of 76 by 85
| Step | Remainder × 10 | Divide by 85 | Remainder left |
|---|---|---|---|
| 1 | 760 | 760 ÷ 85 = 8 | 80 |
| 2 | 800 | 800 ÷ 85 = 9 | 35 |
| 3 | 350 | 350 ÷ 85 = 4 | 10 |
| 4 | 100 | 100 ÷ 85 = 1 | 15 |
| 5 | 150 | 150 ÷ 85 = 1 | 65 |
| 6 | 650 | 650 ÷ 85 = 7 | 55 |
| 7 | 550 | 550 ÷ 85 = 6 | 40 |
| 8 | 400 | 400 ÷ 85 = 4 | 60 |
| 9 | 600 | 600 ÷ 85 = 7 | 5 |
| 10 | 50 | 50 ÷ 85 = 0 | 50 |
| 11 | 500 | 500 ÷ 85 = 5 | 75 |
| 12 | 750 | 750 ÷ 85 = 8 | 70 |
Questions
What is 76/85 as a decimal?
76/85 as a decimal is 0.89411764705882352… (the digits 9411764705882352 repeat forever), which is 0.89 rounded to 2 decimal places.
Is 76/85 a terminating or a repeating decimal?
It repeats. The bottom number 85 = 5 × 17 has a prime factor other than 2 and 5, so the division never ends and the block 9411764705882352 (16 digits) repeats.
What is 76/85 as a percent?
76/85 is 89.4117647058823529…% as a percent.
How do I round 76/85 to 2 decimal places?
76/85 rounded to 2 decimal places is 0.89.