Decimal
0.166…
What is 1/6 as a decimal and percent?
Answer
1/6 as a decimal is 0.166…. As a percent, 1/6 is 16.6667%.
Percent
16.6667%
Step-by-step working
1
Divide the numerator by the denominator
To turn any fraction into a decimal, divide the top by the bottom.
1 ÷ 6 = 0.166…
2
Multiply by 100 for the percent
Percent means "out of one hundred". Multiplying a decimal by 100 (or moving the decimal point two places to the right) gives the percent value.
0.166… × 100 = 16.6667%
3
Round if needed
In this case 1/6 produces a recurring decimal, so rounding is required. Two decimal places (≈ 0.17) is enough for most everyday work; four (≈ 0.1667) for precise calculations.
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Decimal
0.166…
Percent
16.6667%
About this fraction
One-sixth shows up in dice probability (1 in 6 for any face), time fractions (10 minutes is 1/6 of an hour), and music theory. The recurring 0.1666… comes from the factor of 3 in the denominator. The denominator has prime factors other than 2 and 5, which is why the decimal repeats forever.
Common conversions
Related fractions and their decimal / percent values for quick comparison.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/6 | 0.1(6) | 16.6667% |
| 5/6 | 0.8(3) | 83.3333% |
| 1/2 | 0.5 | 50% |
| 1/3 | 0.(3) | 33.3333% |
| 2/3 | 0.(6) | 66.6667% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
Frequently asked questions
What is 1/6 as a decimal?
1/6 as a decimal is 0.166…. The decimal recurs — the digits repeat indefinitely. Divide the numerator by the denominator: 1 ÷ 6 = 0.166…. For most everyday work, round to two or three decimal places.
What is 1/6 as a percent?
1/6 as a percent is 16.6667%. Take the decimal value (0.166…) and move the decimal point two places to the right — the same as multiplying by 100.
Is 1/6 already in lowest form?
Yes. 1/6 is already in lowest form because the greatest common divisor of 1 and 6 is 1.
Does 1/6 terminate or recur as a decimal?
1/6 recurs (does not terminate) as a decimal. The denominator (after simplifying to 1/6) contains prime factors other than 2 and 5, which forces an infinitely repeating block.