3/11 as a decimal
3/11 as a decimal is 0.272727… (the digits 27 repeat forever), which is 0.27 rounded to 2 decimal places.
Change either number to try your own. The digits 27 repeat. Rounded to 2 places: 0.27. In lowest terms: 3/11.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 3 by the bottom number 11.
- 2
11 does not go into 3 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 11, and write the digit. A remainder comes back after 2 steps, so the digits 27 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{11} = 0.\overline{27} \]
\[ \frac{3}{11} = 3 \div 11 \]Long division of 3 by 11
| Step | Remainder × 10 | Divide by 11 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 11 = 2 | 8 |
| 2 | 80 | 80 ÷ 11 = 7 | 3 |
Questions
What is 3/11 as a decimal?
3/11 as a decimal is 0.272727… (the digits 27 repeat forever), which is 0.27 rounded to 2 decimal places.
Is 3/11 a terminating or a repeating decimal?
It repeats. The bottom number 11 = 11 has a prime factor other than 2 and 5, so the division never ends and the block 27 (2 digits) repeats.
What is 3/11 as a percent?
3/11 is 27.272727…% as a percent.
How do I round 3/11 to 2 decimal places?
3/11 rounded to 2 decimal places is 0.27.