8/11 as a Decimal
8/11 = 0.7̅2̅
8/11 as a decimal is 0.7̅2̅ — the digits 72 repeat forever (≈ 0.727273).
Step by step
- Divide 8 by 11: 0 whole (so the answer starts 0.), remainder 8.
- Bring down a 0: 80 ÷ 11 = 7, remainder 3.
- Bring down a 0: 30 ÷ 11 = 2, remainder 8.
- Bring down a 0: 80 ÷ 11 = 7, remainder 3.
- Bring down a 0: 30 ÷ 11 = 2, remainder 8.
- Bring down a 0: 80 ÷ 11 = 7, remainder 3.
- Bring down a 0: 30 ÷ 11 = 2, remainder 8.
- Result: 8/11 = 0.7̅2̅ (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 “72” has 2 digits; round it to the precision you need, for example 0.73 or 0.7273.
Details
- Decimal (rounded)
- 0.727273
- Percent
- 72.7273%
- Type
- Repeating (72 repeats)
- Equivalent fractions
- 16/22, 24/33, 32/44
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 8/11 as a decimal?
8/11 = 0.7̅2̅, which rounds to 0.7273.
How do you convert 8/11 to a decimal?
Divide 8 by 11. 8 ÷ 11 = 0.727273….
What is 8/11 as a percent?
72.7273%.
Is 8/11 a terminating or repeating decimal?
Repeating — the block “72” repeats forever.