1/6 as a Decimal
The fraction 1/6 converted to a decimal, with a step-by-step solution.
How to Convert 1/6 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
1 ÷ 6
- 2
6 does not go into 1, so the whole-number part is 0. Write "0." and continue with a remainder of 1.
0 . …
- 3
Bring down a 0 to make 10. 6 goes into 10 1 time (1 × 6 = 6), remainder 4.
10 ÷ 6 = 1, r 4
- 4
Bring down a 0 to make 40. 6 goes into 40 6 times (6 × 6 = 36), remainder 4. (This is where the repeating block begins.) The remainder 4 has appeared before, so the digits from here on repeat forever.
40 ÷ 6 = 6, r 4
Is 1/6 a Terminating or Repeating Decimal?
1/6 is a repeating decimal. Written in full it is 0.1(6) — the digit 6 repeats forever. The parentheses mark the repeating block.
1/6 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.2 |
| Nearest hundredth | 0.17 |
| Nearest thousandth | 0.167 |
1/6 as a Mixed Number
1/6 is a proper fraction (the numerator is smaller than the denominator), so it is less than 1 and has no whole-number part — its value is just 0.166667.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 6 = 0.166667
- 2
Multiply by 100 to get the percentage.
0.166667 × 100 = 16.666667%
Frequently Asked Questions
What is 1/6 as a decimal?
1/6 as a decimal is 0.166667. You get it by dividing the numerator 1 by the denominator 6.
Is 1/6 a terminating or repeating decimal?
1/6 is a repeating decimal. Written out it is 0.1(6), where the digit 6 repeats forever.
What is 1/6 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 1/6 ≈ 0.167. To the nearest hundredth it is 0.17, and to the nearest tenth it is 0.2.
Is 1/6 a rational number?
Yes. 1/6 is a ratio of two integers (1 over 6), so it is a rational number — even though its decimal form repeats.