10/11 as a Decimal
10/11 = 0.9̅0̅
10/11 as a decimal is 0.9̅0̅ — the digits 90 repeat forever (≈ 0.909091).
Step by step
- Divide 10 by 11: 0 whole (so the answer starts 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.
- Bring down a 0: 10 ÷ 11 = 0, remainder 10.
- Result: 10/11 = 0.9̅0̅ (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 “90” has 2 digits; round it to the precision you need, for example 0.91 or 0.9091.
Details
- Decimal (rounded)
- 0.909091
- Percent
- 90.9091%
- Type
- Repeating (90 repeats)
- Equivalent fractions
- 20/22, 30/33, 40/44
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 10/11 as a decimal?
10/11 = 0.9̅0̅, which rounds to 0.9091.
How do you convert 10/11 to a decimal?
Divide 10 by 11. 10 ÷ 11 = 0.909091….
What is 10/11 as a percent?
90.9091%.
Is 10/11 a terminating or repeating decimal?
Repeating — the block “90” repeats forever.