5/9 as a Decimal
5/9 = 0.5̅
5/9 as a decimal is 0.5̅ — the digit 5 repeat forever (≈ 0.555556).
Step by step
- Divide 5 by 9: 0 whole (so the answer starts 0.), remainder 5.
- Bring down a 0: 50 ÷ 9 = 5, remainder 5.
- Bring down a 0: 50 ÷ 9 = 5, remainder 5.
- Bring down a 0: 50 ÷ 9 = 5, remainder 5.
- Bring down a 0: 50 ÷ 9 = 5, remainder 5.
- Bring down a 0: 50 ÷ 9 = 5, remainder 5.
- Bring down a 0: 50 ÷ 9 = 5, remainder 5.
- Result: 5/9 = 0.5̅ (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 “5” has 1 digit; round it to the precision you need, for example 0.56 or 0.5556.
Details
- Decimal (rounded)
- 0.555556
- Percent
- 55.5556%
- Type
- Repeating (5 repeats)
- Equivalent fractions
- 10/18, 15/27, 20/36
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 5/9 as a decimal?
5/9 = 0.5̅, which rounds to 0.5556.
How do you convert 5/9 to a decimal?
Divide 5 by 9. 5 ÷ 9 = 0.555556….
What is 5/9 as a percent?
55.5556%.
Is 5/9 a terminating or repeating decimal?
Repeating — the block “5” repeats forever.