5/66 as a percent
5/66 as a percent is 7.575757…% (the digits 57 repeat forever), which is 7.58% rounded to 2 decimal places.
Change either number to try your own. The digits 57 repeat. Rounded to 2 places: 7.58%. In lowest terms: 5/66.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 5/66 × 100 = 500/66. Then divide 500 by 66.
- 2
66 goes into 500 7 times with 38 left over, so the whole part is 7.
- 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 2 steps, so the digits 57 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{66} = 7.\overline{57}\% \]
\[ \frac{5}{66} \times 100 = \frac{500}{66} \]Long division of 500 by 66
| Step | Remainder × 10 | Divide by 66 | Remainder left |
|---|---|---|---|
| 1 | 380 | 380 ÷ 66 = 5 | 50 |
| 2 | 500 | 500 ÷ 66 = 7 | 38 |
Questions
What is 5/66 as a percent?
5/66 as a percent is 7.575757…% (the digits 57 repeat forever), which is 7.58% rounded to 2 decimal places.
Is 5/66 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 57 (2 digits) repeats.
What is 5/66 as a decimal?
5/66 is 0.075757… as a decimal.
How do I round 5/66 to 2 decimal places?
5/66 rounded to 2 decimal places is 7.58%.