83/97 as a decimal
83/97 as a decimal is 0.855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061… (the digits 855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061 repeat forever), which is 0.86 rounded to 2 decimal places.
Change either number to try your own. The digits 855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061 repeat. Rounded to 2 places: 0.86. In lowest terms: 83/97.
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 97.
- 2
97 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 97, and write the digit. A remainder comes back after 96 steps, so the digits 855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{83}{97} = 0.\overline{855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061} \]
\[ \frac{83}{97} = 83 \div 97 \]Long division of 83 by 97
| Step | Remainder × 10 | Divide by 97 | Remainder left |
|---|---|---|---|
| 1 | 830 | 830 ÷ 97 = 8 | 54 |
| 2 | 540 | 540 ÷ 97 = 5 | 55 |
| 3 | 550 | 550 ÷ 97 = 5 | 65 |
| 4 | 650 | 650 ÷ 97 = 6 | 68 |
| 5 | 680 | 680 ÷ 97 = 7 | 1 |
| 6 | 10 | 10 ÷ 97 = 0 | 10 |
| 7 | 100 | 100 ÷ 97 = 1 | 3 |
| 8 | 30 | 30 ÷ 97 = 0 | 30 |
| 9 | 300 | 300 ÷ 97 = 3 | 9 |
| 10 | 90 | 90 ÷ 97 = 0 | 90 |
| 11 | 900 | 900 ÷ 97 = 9 | 27 |
| 12 | 270 | 270 ÷ 97 = 2 | 76 |
Questions
What is 83/97 as a decimal?
83/97 as a decimal is 0.855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061… (the digits 855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061 repeat forever), which is 0.86 rounded to 2 decimal places.
Is 83/97 a terminating or a repeating decimal?
It repeats. The bottom number 97 = 97 has a prime factor other than 2 and 5, so the division never ends and the block 855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061 (96 digits) repeats.
What is 83/97 as a percent?
83/97 is 85.567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185…% as a percent.
How do I round 83/97 to 2 decimal places?
83/97 rounded to 2 decimal places is 0.86.