83/89 as a decimal
83/89 as a decimal is 0.93258426966292134831460674157303370786516853… (the digits 93258426966292134831460674157303370786516853 repeat forever), which is 0.93 rounded to 2 decimal places.
Change either number to try your own. The digits 93258426966292134831460674157303370786516853 repeat. Rounded to 2 places: 0.93. In lowest terms: 83/89.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 83 by the bottom number 89.
- 2
89 does not go into 83 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 93258426966292134831460674157303370786516853 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{83}{89} = 0.\overline{93258426966292134831460674157303370786516853} \]
\[ \frac{83}{89} = 83 \div 89 \]Long division of 83 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 830 | 830 ÷ 89 = 9 | 29 |
| 2 | 290 | 290 ÷ 89 = 3 | 23 |
| 3 | 230 | 230 ÷ 89 = 2 | 52 |
| 4 | 520 | 520 ÷ 89 = 5 | 75 |
| 5 | 750 | 750 ÷ 89 = 8 | 38 |
| 6 | 380 | 380 ÷ 89 = 4 | 24 |
| 7 | 240 | 240 ÷ 89 = 2 | 62 |
| 8 | 620 | 620 ÷ 89 = 6 | 86 |
| 9 | 860 | 860 ÷ 89 = 9 | 59 |
| 10 | 590 | 590 ÷ 89 = 6 | 56 |
| 11 | 560 | 560 ÷ 89 = 6 | 26 |
| 12 | 260 | 260 ÷ 89 = 2 | 82 |
Questions
What is 83/89 as a decimal?
83/89 as a decimal is 0.93258426966292134831460674157303370786516853… (the digits 93258426966292134831460674157303370786516853 repeat forever), which is 0.93 rounded to 2 decimal places.
Is 83/89 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 93258426966292134831460674157303370786516853 (44 digits) repeats.
What is 83/89 as a percent?
83/89 is 93.25842696629213483146067415730337078651685393…% as a percent.
How do I round 83/89 to 2 decimal places?
83/89 rounded to 2 decimal places is 0.93.