4/15 as a Decimal
4/15 = 0.26̅
4/15 as a decimal is 0.26̅ — the digit 6 repeat forever (≈ 0.266667).
Step by step
- Divide 4 by 15: 0 whole (so the answer starts 0.), remainder 4.
- Bring down a 0: 40 ÷ 15 = 2, remainder 10.
- Bring down a 0: 100 ÷ 15 = 6, remainder 10.
- Bring down a 0: 100 ÷ 15 = 6, remainder 10.
- Bring down a 0: 100 ÷ 15 = 6, remainder 10.
- Bring down a 0: 100 ÷ 15 = 6, remainder 10.
- Bring down a 0: 100 ÷ 15 = 6, remainder 10.
- Result: 4/15 = 0.26̅ (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 “6” has 1 digit; round it to the precision you need, for example 0.27 or 0.2667.
Details
- Decimal (rounded)
- 0.266667
- Percent
- 26.6667%
- Type
- Repeating (6 repeats)
- Equivalent fractions
- 8/30, 12/45, 16/60
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 4/15 as a decimal?
4/15 = 0.26̅, which rounds to 0.2667.
How do you convert 4/15 to a decimal?
Divide 4 by 15. 4 ÷ 15 = 0.266667….
What is 4/15 as a percent?
26.6667%.
Is 4/15 a terminating or repeating decimal?
Repeating — the block “6” repeats forever.