89/91 as a decimal
89/91 as a decimal is 0.978021… (the digits 978021 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 978021 repeat. Rounded to 2 places: 0.98. In lowest terms: 89/91.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 89 by the bottom number 91.
- 2
91 does not go into 89 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 978021 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{89}{91} = 0.\overline{978021} \]
\[ \frac{89}{91} = 89 \div 91 \]Long division of 89 by 91
| Step | Remainder × 10 | Divide by 91 | Remainder left |
|---|---|---|---|
| 1 | 890 | 890 ÷ 91 = 9 | 71 |
| 2 | 710 | 710 ÷ 91 = 7 | 73 |
| 3 | 730 | 730 ÷ 91 = 8 | 2 |
| 4 | 20 | 20 ÷ 91 = 0 | 20 |
| 5 | 200 | 200 ÷ 91 = 2 | 18 |
| 6 | 180 | 180 ÷ 91 = 1 | 89 |
Questions
What is 89/91 as a decimal?
89/91 as a decimal is 0.978021… (the digits 978021 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 89/91 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 978021 (6 digits) repeats.
What is 89/91 as a percent?
89/91 is 97.802197…% as a percent.
How do I round 89/91 to 2 decimal places?
89/91 rounded to 2 decimal places is 0.98.