2/15 as a Decimal
2/15 = 0.13̅
2/15 as a decimal is 0.13̅ — the digit 3 repeat forever (≈ 0.133333).
Step by step
- Divide 2 by 15: 0 whole (so the answer starts 0.), remainder 2.
- Bring down a 0: 20 ÷ 15 = 1, remainder 5.
- Bring down a 0: 50 ÷ 15 = 3, remainder 5.
- Bring down a 0: 50 ÷ 15 = 3, remainder 5.
- Bring down a 0: 50 ÷ 15 = 3, remainder 5.
- Bring down a 0: 50 ÷ 15 = 3, remainder 5.
- Bring down a 0: 50 ÷ 15 = 3, remainder 5.
- Result: 2/15 = 0.13̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 15 still has the factor 3, so the division never ends and the remainders cycle. The repeating block “3” has 1 digit; round it to the precision you need, for example 0.13 or 0.1333.
Details
- Decimal (rounded)
- 0.133333
- Percent
- 13.3333%
- Type
- Repeating (3 repeats)
- Equivalent fractions
- 4/30, 6/45, 8/60
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 2/15 as a decimal?
2/15 = 0.13̅, which rounds to 0.1333.
How do you convert 2/15 to a decimal?
Divide 2 by 15. 2 ÷ 15 = 0.133333….
What is 2/15 as a percent?
13.3333%.
Is 2/15 a terminating or repeating decimal?
Repeating — the block “3” repeats forever.