1/9 as a Decimal
1/9 = 0.1̅
1/9 as a decimal is 0.1̅ — the digit 1 repeat forever (≈ 0.111111).
Step by step
- Divide 1 by 9: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 9 = 1, remainder 1.
- Bring down a 0: 10 ÷ 9 = 1, remainder 1.
- Bring down a 0: 10 ÷ 9 = 1, remainder 1.
- Bring down a 0: 10 ÷ 9 = 1, remainder 1.
- Bring down a 0: 10 ÷ 9 = 1, remainder 1.
- Bring down a 0: 10 ÷ 9 = 1, remainder 1.
- Result: 1/9 = 0.1̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 9 still has the factor 9, so the division never ends and the remainders cycle. The repeating block “1” has 1 digit; round it to the precision you need, for example 0.11 or 0.1111.
Details
- Decimal (rounded)
- 0.111111
- Percent
- 11.1111%
- Type
- Repeating (1 repeats)
- Equivalent fractions
- 2/18, 3/27, 4/36
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 1/9 as a decimal?
1/9 = 0.1̅, which rounds to 0.1111.
How do you convert 1/9 to a decimal?
Divide 1 by 9. 1 ÷ 9 = 0.111111….
What is 1/9 as a percent?
11.1111%.
Is 1/9 a terminating or repeating decimal?
Repeating — the block “1” repeats forever.