71/97 as a decimal
71/97 as a decimal is 0.731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257… (the digits 731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257 repeat forever), which is 0.73 rounded to 2 decimal places.
Change either number to try your own. The digits 731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257 repeat. Rounded to 2 places: 0.73. In lowest terms: 71/97.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 71 by the bottom number 97.
- 2
97 does not go into 71 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 731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{97} = 0.\overline{731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257} \]
\[ \frac{71}{97} = 71 \div 97 \]Long division of 71 by 97
| Step | Remainder × 10 | Divide by 97 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 97 = 7 | 31 |
| 2 | 310 | 310 ÷ 97 = 3 | 19 |
| 3 | 190 | 190 ÷ 97 = 1 | 93 |
| 4 | 930 | 930 ÷ 97 = 9 | 57 |
| 5 | 570 | 570 ÷ 97 = 5 | 85 |
| 6 | 850 | 850 ÷ 97 = 8 | 74 |
| 7 | 740 | 740 ÷ 97 = 7 | 61 |
| 8 | 610 | 610 ÷ 97 = 6 | 28 |
| 9 | 280 | 280 ÷ 97 = 2 | 86 |
| 10 | 860 | 860 ÷ 97 = 8 | 84 |
| 11 | 840 | 840 ÷ 97 = 8 | 64 |
| 12 | 640 | 640 ÷ 97 = 6 | 58 |
Questions
What is 71/97 as a decimal?
71/97 as a decimal is 0.731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257… (the digits 731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257 repeat forever), which is 0.73 rounded to 2 decimal places.
Is 71/97 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 731958762886597938144329896907216494845360824742268041237113402061855670103092783505154639175257 (96 digits) repeats.
What is 71/97 as a percent?
71/97 is 73.195876288659793814432989690721649484536082474226804123711340206185567010309278350515463917525773…% as a percent.
How do I round 71/97 to 2 decimal places?
71/97 rounded to 2 decimal places is 0.73.