75/89 as a decimal
75/89 as a decimal is 0.84269662921348314606741573033707865168539325… (the digits 84269662921348314606741573033707865168539325 repeat forever), which is 0.84 rounded to 2 decimal places.
Change either number to try your own. The digits 84269662921348314606741573033707865168539325 repeat. Rounded to 2 places: 0.84. In lowest terms: 75/89.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 75 by the bottom number 89.
- 2
89 does not go into 75 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 84269662921348314606741573033707865168539325 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{75}{89} = 0.\overline{84269662921348314606741573033707865168539325} \]
\[ \frac{75}{89} = 75 \div 89 \]Long division of 75 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 750 | 750 ÷ 89 = 8 | 38 |
| 2 | 380 | 380 ÷ 89 = 4 | 24 |
| 3 | 240 | 240 ÷ 89 = 2 | 62 |
| 4 | 620 | 620 ÷ 89 = 6 | 86 |
| 5 | 860 | 860 ÷ 89 = 9 | 59 |
| 6 | 590 | 590 ÷ 89 = 6 | 56 |
| 7 | 560 | 560 ÷ 89 = 6 | 26 |
| 8 | 260 | 260 ÷ 89 = 2 | 82 |
| 9 | 820 | 820 ÷ 89 = 9 | 19 |
| 10 | 190 | 190 ÷ 89 = 2 | 12 |
| 11 | 120 | 120 ÷ 89 = 1 | 31 |
| 12 | 310 | 310 ÷ 89 = 3 | 43 |
Questions
What is 75/89 as a decimal?
75/89 as a decimal is 0.84269662921348314606741573033707865168539325… (the digits 84269662921348314606741573033707865168539325 repeat forever), which is 0.84 rounded to 2 decimal places.
Is 75/89 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 84269662921348314606741573033707865168539325 (44 digits) repeats.
What is 75/89 as a percent?
75/89 is 84.26966292134831460674157303370786516853932584…% as a percent.
How do I round 75/89 to 2 decimal places?
75/89 rounded to 2 decimal places is 0.84.