1/11 as a Decimal
1/11 = 0.0̅9̅
1/11 as a decimal is 0.0̅9̅ — the digits 09 repeat forever (≈ 0.090909).
Step by step
- Divide 1 by 11: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 11 = 0, remainder 10.
- Bring down a 0: 100 ÷ 11 = 9, remainder 1.
- Bring down a 0: 10 ÷ 11 = 0, remainder 10.
- Bring down a 0: 100 ÷ 11 = 9, remainder 1.
- Bring down a 0: 10 ÷ 11 = 0, remainder 10.
- Bring down a 0: 100 ÷ 11 = 9, remainder 1.
- Result: 1/11 = 0.0̅9̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 11 still has the factor 11, so the division never ends and the remainders cycle. The repeating block “09” has 2 digits; round it to the precision you need, for example 0.09 or 0.0909.
Details
- Decimal (rounded)
- 0.090909
- Percent
- 9.0909%
- Type
- Repeating (09 repeats)
- Equivalent fractions
- 2/22, 3/33, 4/44
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 1/11 as a decimal?
1/11 = 0.0̅9̅, which rounds to 0.0909.
How do you convert 1/11 to a decimal?
Divide 1 by 11. 1 ÷ 11 = 0.090909….
What is 1/11 as a percent?
9.0909%.
Is 1/11 a terminating or repeating decimal?
Repeating — the block “09” repeats forever.