1/6 as a Decimal
1/6 = 0.16̅
1/6 as a decimal is 0.16̅ — the digit 6 repeat forever (≈ 0.166667).
Step by step
- Divide 1 by 6: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 6 = 1, remainder 4.
- Bring down a 0: 40 ÷ 6 = 6, remainder 4.
- Bring down a 0: 40 ÷ 6 = 6, remainder 4.
- Bring down a 0: 40 ÷ 6 = 6, remainder 4.
- Bring down a 0: 40 ÷ 6 = 6, remainder 4.
- Bring down a 0: 40 ÷ 6 = 6, remainder 4.
- Result: 1/6 = 0.16̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 6 still has the factor 3, so the division never ends and the remainders cycle. The repeating block “6” has 1 digit; round it to the precision you need, for example 0.17 or 0.1667.
Details
- Decimal (rounded)
- 0.166667
- Percent
- 16.6667%
- Type
- Repeating (6 repeats)
- Equivalent fractions
- 2/12, 3/18, 4/24
How it works
A fraction means division: the numerator (top) divided by the denominator (bottom). Use long division, adding zeros after the decimal point until the remainder is zero or a remainder repeats. If the simplified denominator has only 2 and 5 as prime factors, the decimal terminates; otherwise it repeats forever, and the repeating digits are marked with a bar.
Nearby values
Related conversions
Frequently asked questions
What is 1/6 as a decimal?
1/6 = 0.16̅, which rounds to 0.1667.
How do you convert 1/6 to a decimal?
Divide 1 by 6. 1 ÷ 6 = 0.166667….
What is 1/6 as a percent?
16.6667%.
Is 1/6 a terminating or repeating decimal?
Repeating — the block “6” repeats forever.