3/5 as a Decimal
3/5 = 0.6
3/5 as a decimal is 0.6.
Step by step
- Divide 3 by 5: 0 whole (so the answer starts 0.), remainder 3.
- Bring down a 0: 30 ÷ 5 = 6, remainder 0.
- Result: 3/5 = 0.6.
Shortcut: 5 divides evenly into 10, so multiply the top and bottom by 2: 3/5 = 6/10 = 0.6. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 3/5 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.6
- Percent
- 60%
- Type
- Terminating decimal
- Equivalent fractions
- 6/10, 9/15, 12/20
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 3/5 as a decimal?
3/5 = 0.6.
How do you convert 3/5 to a decimal?
Divide 3 by 5. 3 ÷ 5 = 0.6.
What is 3/5 as a percent?
60%.
Is 3/5 a terminating or repeating decimal?
Terminating — the division ends with no remainder.