71/91 as a decimal
71/91 as a decimal is 0.780219… (the digits 780219 repeat forever), which is 0.78 rounded to 2 decimal places.
Change either number to try your own. The digits 780219 repeat. Rounded to 2 places: 0.78. In lowest terms: 71/91.
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 91.
- 2
91 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 91, and write the digit. A remainder comes back after 6 steps, so the digits 780219 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{91} = 0.\overline{780219} \]
\[ \frac{71}{91} = 71 \div 91 \]Long division of 71 by 91
| Step | Remainder × 10 | Divide by 91 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 91 = 7 | 73 |
| 2 | 730 | 730 ÷ 91 = 8 | 2 |
| 3 | 20 | 20 ÷ 91 = 0 | 20 |
| 4 | 200 | 200 ÷ 91 = 2 | 18 |
| 5 | 180 | 180 ÷ 91 = 1 | 89 |
| 6 | 890 | 890 ÷ 91 = 9 | 71 |
Questions
What is 71/91 as a decimal?
71/91 as a decimal is 0.780219… (the digits 780219 repeat forever), which is 0.78 rounded to 2 decimal places.
Is 71/91 a terminating or a repeating decimal?
It repeats. The bottom number 91 = 7 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 780219 (6 digits) repeats.
What is 71/91 as a percent?
71/91 is 78.021978…% as a percent.
How do I round 71/91 to 2 decimal places?
71/91 rounded to 2 decimal places is 0.78.