8/15 as a Decimal
8/15 = 0.53̅
8/15 as a decimal is 0.53̅ — the digit 3 repeat forever (≈ 0.533333).
Step by step
- Divide 8 by 15: 0 whole (so the answer starts 0.), remainder 8.
- Bring down a 0: 80 ÷ 15 = 5, 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: 8/15 = 0.53̅ (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 0.53 or 0.5333.
Details
- Decimal (rounded)
- 0.533333
- Percent
- 53.3333%
- Type
- Repeating (3 repeats)
- Equivalent fractions
- 16/30, 24/45, 32/60
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 8/15 as a decimal?
8/15 = 0.53̅, which rounds to 0.5333.
How do you convert 8/15 to a decimal?
Divide 8 by 15. 8 ÷ 15 = 0.533333….
What is 8/15 as a percent?
53.3333%.
Is 8/15 a terminating or repeating decimal?
Repeating — the block “3” repeats forever.