8/9 as a Decimal
8/9 = 0.8̅
8/9 as a decimal is 0.8̅ — the digit 8 repeat forever (≈ 0.888889).
Step by step
- Divide 8 by 9: 0 whole (so the answer starts 0.), remainder 8.
- Bring down a 0: 80 ÷ 9 = 8, remainder 8.
- Bring down a 0: 80 ÷ 9 = 8, remainder 8.
- Bring down a 0: 80 ÷ 9 = 8, remainder 8.
- Bring down a 0: 80 ÷ 9 = 8, remainder 8.
- Bring down a 0: 80 ÷ 9 = 8, remainder 8.
- Bring down a 0: 80 ÷ 9 = 8, remainder 8.
- Result: 8/9 = 0.8̅ (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 “8” has 1 digit; round it to the precision you need, for example 0.89 or 0.8889.
Details
- Decimal (rounded)
- 0.888889
- Percent
- 88.8889%
- Type
- Repeating (8 repeats)
- Equivalent fractions
- 16/18, 24/27, 32/36
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 8/9 as a decimal?
8/9 = 0.8̅, which rounds to 0.8889.
How do you convert 8/9 to a decimal?
Divide 8 by 9. 8 ÷ 9 = 0.888889….
What is 8/9 as a percent?
88.8889%.
Is 8/9 a terminating or repeating decimal?
Repeating — the block “8” repeats forever.