2/9 as a Decimal
2/9 = 0.2̅
2/9 as a decimal is 0.2̅ — the digit 2 repeat forever (≈ 0.222222).
Step by step
- Divide 2 by 9: 0 whole (so the answer starts 0.), remainder 2.
- Bring down a 0: 20 ÷ 9 = 2, remainder 2.
- Bring down a 0: 20 ÷ 9 = 2, remainder 2.
- Bring down a 0: 20 ÷ 9 = 2, remainder 2.
- Bring down a 0: 20 ÷ 9 = 2, remainder 2.
- Bring down a 0: 20 ÷ 9 = 2, remainder 2.
- Bring down a 0: 20 ÷ 9 = 2, remainder 2.
- Result: 2/9 = 0.2̅ (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 “2” has 1 digit; round it to the precision you need, for example 0.22 or 0.2222.
Details
- Decimal (rounded)
- 0.222222
- Percent
- 22.2222%
- Type
- Repeating (2 repeats)
- Equivalent fractions
- 4/18, 6/27, 8/36
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 2/9 as a decimal?
2/9 = 0.2̅, which rounds to 0.2222.
How do you convert 2/9 to a decimal?
Divide 2 by 9. 2 ÷ 9 = 0.222222….
What is 2/9 as a percent?
22.2222%.
Is 2/9 a terminating or repeating decimal?
Repeating — the block “2” repeats forever.