1/6 as a percent
1/6 as a percent is 16.666666…% (the digits 6 repeat forever), which is 16.67% rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 16.67%. In lowest terms: 1/6.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 1/6 × 100 = 100/6. Then divide 100 by 6.
- 2
6 goes into 100 16 times with 4 left over, so the whole part is 16.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 6, and write the digit. A remainder comes back after 1 step, so the digits 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{1}{6} = 16.\overline{6}\% \]
\[ \frac{1}{6} \times 100 = \frac{100}{6} \]Long division of 100 by 6
| Step | Remainder × 10 | Divide by 6 | Remainder left |
|---|---|---|---|
| 1 | 40 | 40 ÷ 6 = 6 | 4 |
Questions
What is 1/6 as a percent?
1/6 as a percent is 16.666666…% (the digits 6 repeat forever), which is 16.67% rounded to 2 decimal places.
Is 1/6 a terminating or a repeating decimal?
It repeats. The bottom number 6 = 2 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.
What is 1/6 as a decimal?
1/6 is 0.166666… as a decimal.
How do I round 1/6 to 2 decimal places?
1/6 rounded to 2 decimal places is 16.67%.