11/21 as a decimal
11/21 as a decimal is 0.523809… (the digits 523809 repeat forever), which is 0.52 rounded to 2 decimal places.
Change either number to try your own. The digits 523809 repeat. Rounded to 2 places: 0.52. In lowest terms: 11/21.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 11 by the bottom number 21.
- 2
21 does not go into 11 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 21, and write the digit. A remainder comes back after 6 steps, so the digits 523809 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{11}{21} = 0.\overline{523809} \]
\[ \frac{11}{21} = 11 \div 21 \]Long division of 11 by 21
| Step | Remainder × 10 | Divide by 21 | Remainder left |
|---|---|---|---|
| 1 | 110 | 110 ÷ 21 = 5 | 5 |
| 2 | 50 | 50 ÷ 21 = 2 | 8 |
| 3 | 80 | 80 ÷ 21 = 3 | 17 |
| 4 | 170 | 170 ÷ 21 = 8 | 2 |
| 5 | 20 | 20 ÷ 21 = 0 | 20 |
| 6 | 200 | 200 ÷ 21 = 9 | 11 |
Questions
What is 11/21 as a decimal?
11/21 as a decimal is 0.523809… (the digits 523809 repeat forever), which is 0.52 rounded to 2 decimal places.
Is 11/21 a terminating or a repeating decimal?
It repeats. The bottom number 21 = 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 523809 (6 digits) repeats.
What is 11/21 as a percent?
11/21 is 52.380952…% as a percent.
How do I round 11/21 to 2 decimal places?
11/21 rounded to 2 decimal places is 0.52.