89/90 as a decimal
89/90 as a decimal is 0.988888… (the digits 8 repeat forever), which is 0.99 rounded to 2 decimal places.
Change either number to try your own. The digits 8 repeat. Rounded to 2 places: 0.99. In lowest terms: 89/90.
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 90.
- 2
90 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 90, and write the digit. A remainder comes back after 2 steps, so the digits 8 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{89}{90} = 0.9\overline{8} \]
\[ \frac{89}{90} = 89 \div 90 \]Long division of 89 by 90
| Step | Remainder × 10 | Divide by 90 | Remainder left |
|---|---|---|---|
| 1 | 890 | 890 ÷ 90 = 9 | 80 |
| 2 | 800 | 800 ÷ 90 = 8 | 80 |
Questions
What is 89/90 as a decimal?
89/90 as a decimal is 0.988888… (the digits 8 repeat forever), which is 0.99 rounded to 2 decimal places.
Is 89/90 a terminating or a repeating decimal?
It repeats. The bottom number 90 = 2 × 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 8 (1 digit) repeats.
What is 89/90 as a percent?
89/90 is 98.888888…% as a percent.
How do I round 89/90 to 2 decimal places?
89/90 rounded to 2 decimal places is 0.99.