83/98 as a decimal
83/98 as a decimal is 0.8469387755102040816326530612244897959183673… (the digits 469387755102040816326530612244897959183673 repeat forever), which is 0.85 rounded to 2 decimal places.
Change either number to try your own. The digits 469387755102040816326530612244897959183673 repeat. Rounded to 2 places: 0.85. In lowest terms: 83/98.
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 98.
- 2
98 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 98, and write the digit. A remainder comes back after 43 steps, so the digits 469387755102040816326530612244897959183673 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{83}{98} = 0.8\overline{469387755102040816326530612244897959183673} \]
\[ \frac{83}{98} = 83 \div 98 \]Long division of 83 by 98
| Step | Remainder × 10 | Divide by 98 | Remainder left |
|---|---|---|---|
| 1 | 830 | 830 ÷ 98 = 8 | 46 |
| 2 | 460 | 460 ÷ 98 = 4 | 68 |
| 3 | 680 | 680 ÷ 98 = 6 | 92 |
| 4 | 920 | 920 ÷ 98 = 9 | 38 |
| 5 | 380 | 380 ÷ 98 = 3 | 86 |
| 6 | 860 | 860 ÷ 98 = 8 | 76 |
| 7 | 760 | 760 ÷ 98 = 7 | 74 |
| 8 | 740 | 740 ÷ 98 = 7 | 54 |
| 9 | 540 | 540 ÷ 98 = 5 | 50 |
| 10 | 500 | 500 ÷ 98 = 5 | 10 |
| 11 | 100 | 100 ÷ 98 = 1 | 2 |
| 12 | 20 | 20 ÷ 98 = 0 | 20 |
Questions
What is 83/98 as a decimal?
83/98 as a decimal is 0.8469387755102040816326530612244897959183673… (the digits 469387755102040816326530612244897959183673 repeat forever), which is 0.85 rounded to 2 decimal places.
Is 83/98 a terminating or a repeating decimal?
It repeats. The bottom number 98 = 2 × 7 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 469387755102040816326530612244897959183673 (42 digits) repeats.
What is 83/98 as a percent?
83/98 is 84.693877551020408163265306122448979591836734…% as a percent.
How do I round 83/98 to 2 decimal places?
83/98 rounded to 2 decimal places is 0.85.