10/99 as a decimal
10/99 as a decimal is 0.101010… (the digits 10 repeat forever), which is 0.10 rounded to 2 decimal places.
Change either number to try your own. The digits 10 repeat. Rounded to 2 places: 0.10. In lowest terms: 10/99.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 10 by the bottom number 99.
- 2
99 does not go into 10 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 99, and write the digit. A remainder comes back after 2 steps, so the digits 10 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{99} = 0.\overline{10} \]
\[ \frac{10}{99} = 10 \div 99 \]Long division of 10 by 99
| Step | Remainder × 10 | Divide by 99 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 99 = 1 | 1 |
| 2 | 10 | 10 ÷ 99 = 0 | 10 |
Questions
What is 10/99 as a decimal?
10/99 as a decimal is 0.101010… (the digits 10 repeat forever), which is 0.10 rounded to 2 decimal places.
Is 10/99 a terminating or a repeating decimal?
It repeats. The bottom number 99 = 3 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 10 (2 digits) repeats.
What is 10/99 as a percent?
10/99 is 10.101010…% as a percent.
How do I round 10/99 to 2 decimal places?
10/99 rounded to 2 decimal places is 0.10.