82/89 as a decimal
82/89 as a decimal is 0.92134831460674157303370786516853932584269662… (the digits 92134831460674157303370786516853932584269662 repeat forever), which is 0.92 rounded to 2 decimal places.
Change either number to try your own. The digits 92134831460674157303370786516853932584269662 repeat. Rounded to 2 places: 0.92. In lowest terms: 82/89.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 82 by the bottom number 89.
- 2
89 does not go into 82 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 92134831460674157303370786516853932584269662 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{82}{89} = 0.\overline{92134831460674157303370786516853932584269662} \]
\[ \frac{82}{89} = 82 \div 89 \]Long division of 82 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 820 | 820 ÷ 89 = 9 | 19 |
| 2 | 190 | 190 ÷ 89 = 2 | 12 |
| 3 | 120 | 120 ÷ 89 = 1 | 31 |
| 4 | 310 | 310 ÷ 89 = 3 | 43 |
| 5 | 430 | 430 ÷ 89 = 4 | 74 |
| 6 | 740 | 740 ÷ 89 = 8 | 28 |
| 7 | 280 | 280 ÷ 89 = 3 | 13 |
| 8 | 130 | 130 ÷ 89 = 1 | 41 |
| 9 | 410 | 410 ÷ 89 = 4 | 54 |
| 10 | 540 | 540 ÷ 89 = 6 | 6 |
| 11 | 60 | 60 ÷ 89 = 0 | 60 |
| 12 | 600 | 600 ÷ 89 = 6 | 66 |
Questions
What is 82/89 as a decimal?
82/89 as a decimal is 0.92134831460674157303370786516853932584269662… (the digits 92134831460674157303370786516853932584269662 repeat forever), which is 0.92 rounded to 2 decimal places.
Is 82/89 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 92134831460674157303370786516853932584269662 (44 digits) repeats.
What is 82/89 as a percent?
82/89 is 92.13483146067415730337078651685393258426966292…% as a percent.
How do I round 82/89 to 2 decimal places?
82/89 rounded to 2 decimal places is 0.92.