10/81 as a decimal
10/81 as a decimal is 0.123456790… (the digits 123456790 repeat forever), which is 0.12 rounded to 2 decimal places.
Change either number to try your own. The digits 123456790 repeat. Rounded to 2 places: 0.12. In lowest terms: 10/81.
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 81.
- 2
81 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 81, and write the digit. A remainder comes back after 9 steps, so the digits 123456790 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{81} = 0.\overline{123456790} \]
\[ \frac{10}{81} = 10 \div 81 \]Long division of 10 by 81
| Step | Remainder × 10 | Divide by 81 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 81 = 1 | 19 |
| 2 | 190 | 190 ÷ 81 = 2 | 28 |
| 3 | 280 | 280 ÷ 81 = 3 | 37 |
| 4 | 370 | 370 ÷ 81 = 4 | 46 |
| 5 | 460 | 460 ÷ 81 = 5 | 55 |
| 6 | 550 | 550 ÷ 81 = 6 | 64 |
| 7 | 640 | 640 ÷ 81 = 7 | 73 |
| 8 | 730 | 730 ÷ 81 = 9 | 1 |
| 9 | 10 | 10 ÷ 81 = 0 | 10 |
Questions
What is 10/81 as a decimal?
10/81 as a decimal is 0.123456790… (the digits 123456790 repeat forever), which is 0.12 rounded to 2 decimal places.
Is 10/81 a terminating or a repeating decimal?
It repeats. The bottom number 81 = 3 × 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 123456790 (9 digits) repeats.
What is 10/81 as a percent?
10/81 is 12.345679012…% as a percent.
How do I round 10/81 to 2 decimal places?
10/81 rounded to 2 decimal places is 0.12.