11/30 as a decimal
11/30 as a decimal is 0.366666… (the digits 6 repeat forever), which is 0.37 rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.37. In lowest terms: 11/30.
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 30.
- 2
30 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 30, and write the digit. A remainder comes back after 2 steps, so the digits 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{11}{30} = 0.3\overline{6} \]
\[ \frac{11}{30} = 11 \div 30 \]Long division of 11 by 30
| Step | Remainder × 10 | Divide by 30 | Remainder left |
|---|---|---|---|
| 1 | 110 | 110 ÷ 30 = 3 | 20 |
| 2 | 200 | 200 ÷ 30 = 6 | 20 |
Questions
What is 11/30 as a decimal?
11/30 as a decimal is 0.366666… (the digits 6 repeat forever), which is 0.37 rounded to 2 decimal places.
Is 11/30 a terminating or a repeating decimal?
It repeats. The bottom number 30 = 2 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.
What is 11/30 as a percent?
11/30 is 36.666666…% as a percent.
How do I round 11/30 to 2 decimal places?
11/30 rounded to 2 decimal places is 0.37.