64/89 as a decimal
64/89 as a decimal is 0.71910112359550561797752808988764044943820224… (the digits 71910112359550561797752808988764044943820224 repeat forever), which is 0.72 rounded to 2 decimal places.
Change either number to try your own. The digits 71910112359550561797752808988764044943820224 repeat. Rounded to 2 places: 0.72. In lowest terms: 64/89.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 64 by the bottom number 89.
- 2
89 does not go into 64 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 89, and write the digit. A remainder comes back after 44 steps, so the digits 71910112359550561797752808988764044943820224 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{64}{89} = 0.\overline{71910112359550561797752808988764044943820224} \]
\[ \frac{64}{89} = 64 \div 89 \]Long division of 64 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 640 | 640 ÷ 89 = 7 | 17 |
| 2 | 170 | 170 ÷ 89 = 1 | 81 |
| 3 | 810 | 810 ÷ 89 = 9 | 9 |
| 4 | 90 | 90 ÷ 89 = 1 | 1 |
| 5 | 10 | 10 ÷ 89 = 0 | 10 |
| 6 | 100 | 100 ÷ 89 = 1 | 11 |
| 7 | 110 | 110 ÷ 89 = 1 | 21 |
| 8 | 210 | 210 ÷ 89 = 2 | 32 |
| 9 | 320 | 320 ÷ 89 = 3 | 53 |
| 10 | 530 | 530 ÷ 89 = 5 | 85 |
| 11 | 850 | 850 ÷ 89 = 9 | 49 |
| 12 | 490 | 490 ÷ 89 = 5 | 45 |
Questions
What is 64/89 as a decimal?
64/89 as a decimal is 0.71910112359550561797752808988764044943820224… (the digits 71910112359550561797752808988764044943820224 repeat forever), which is 0.72 rounded to 2 decimal places.
Is 64/89 a terminating or a repeating decimal?
It repeats. The bottom number 89 = 89 has a prime factor other than 2 and 5, so the division never ends and the block 71910112359550561797752808988764044943820224 (44 digits) repeats.
What is 64/89 as a percent?
64/89 is 71.91011235955056179775280898876404494382022471…% as a percent.
How do I round 64/89 to 2 decimal places?
64/89 rounded to 2 decimal places is 0.72.