7/66 as a decimal
7/66 as a decimal is 0.106060… (the digits 06 repeat forever), which is 0.11 rounded to 2 decimal places.
Change either number to try your own. The digits 06 repeat. Rounded to 2 places: 0.11. In lowest terms: 7/66.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 66.
- 2
66 does not go into 7 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 66, and write the digit. A remainder comes back after 3 steps, so the digits 06 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{66} = 0.1\overline{06} \]
\[ \frac{7}{66} = 7 \div 66 \]Long division of 7 by 66
| Step | Remainder × 10 | Divide by 66 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 66 = 1 | 4 |
| 2 | 40 | 40 ÷ 66 = 0 | 40 |
| 3 | 400 | 400 ÷ 66 = 6 | 4 |
Questions
What is 7/66 as a decimal?
7/66 as a decimal is 0.106060… (the digits 06 repeat forever), which is 0.11 rounded to 2 decimal places.
Is 7/66 a terminating or a repeating decimal?
It repeats. The bottom number 66 = 2 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 06 (2 digits) repeats.
What is 7/66 as a percent?
7/66 is 10.606060…% as a percent.
How do I round 7/66 to 2 decimal places?
7/66 rounded to 2 decimal places is 0.11.