7/15 as a Decimal
7/15 = 0.46̅
7/15 as a decimal is 0.46̅ — the digit 6 repeat forever (≈ 0.466667).
Step by step
- Divide 7 by 15: 0 whole (so the answer starts 0.), remainder 7.
- Bring down a 0: 70 ÷ 15 = 4, 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: 7/15 = 0.46̅ (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 0.47 or 0.4667.
Details
- Decimal (rounded)
- 0.466667
- Percent
- 46.6667%
- Type
- Repeating (6 repeats)
- Equivalent fractions
- 14/30, 21/45, 28/60
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 7/15 as a decimal?
7/15 = 0.46̅, which rounds to 0.4667.
How do you convert 7/15 to a decimal?
Divide 7 by 15. 7 ÷ 15 = 0.466667….
What is 7/15 as a percent?
46.6667%.
Is 7/15 a terminating or repeating decimal?
Repeating — the block “6” repeats forever.