87/97 as a decimal
87/97 as a decimal is 0.896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329… (the digits 896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329 repeat forever), which is 0.90 rounded to 2 decimal places.
Change either number to try your own. The digits 896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329 repeat. Rounded to 2 places: 0.90. In lowest terms: 87/97.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 87 by the bottom number 97.
- 2
97 does not go into 87 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 896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{87}{97} = 0.\overline{896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329} \]
\[ \frac{87}{97} = 87 \div 97 \]Long division of 87 by 97
| Step | Remainder × 10 | Divide by 97 | Remainder left |
|---|---|---|---|
| 1 | 870 | 870 ÷ 97 = 8 | 94 |
| 2 | 940 | 940 ÷ 97 = 9 | 67 |
| 3 | 670 | 670 ÷ 97 = 6 | 88 |
| 4 | 880 | 880 ÷ 97 = 9 | 7 |
| 5 | 70 | 70 ÷ 97 = 0 | 70 |
| 6 | 700 | 700 ÷ 97 = 7 | 21 |
| 7 | 210 | 210 ÷ 97 = 2 | 16 |
| 8 | 160 | 160 ÷ 97 = 1 | 63 |
| 9 | 630 | 630 ÷ 97 = 6 | 48 |
| 10 | 480 | 480 ÷ 97 = 4 | 92 |
| 11 | 920 | 920 ÷ 97 = 9 | 47 |
| 12 | 470 | 470 ÷ 97 = 4 | 82 |
Questions
What is 87/97 as a decimal?
87/97 as a decimal is 0.896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329… (the digits 896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329 repeat forever), which is 0.90 rounded to 2 decimal places.
Is 87/97 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 896907216494845360824742268041237113402061855670103092783505154639175257731958762886597938144329 (96 digits) repeats.
What is 87/97 as a percent?
87/97 is 89.690721649484536082474226804123711340206185567010309278350515463917525773195876288659793814432989…% as a percent.
How do I round 87/97 to 2 decimal places?
87/97 rounded to 2 decimal places is 0.90.