2/5 as a Decimal
2/5 = 0.4
2/5 as a decimal is 0.4.
Step by step
- Divide 2 by 5: 0 whole (so the answer starts 0.), remainder 2.
- Bring down a 0: 20 ÷ 5 = 4, remainder 0.
- Result: 2/5 = 0.4.
Shortcut: 5 divides evenly into 10, so multiply the top and bottom by 2: 2/5 = 4/10 = 0.4. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 2/5 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.4
- Percent
- 40%
- Type
- Terminating decimal
- Equivalent fractions
- 4/10, 6/15, 8/20
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 2/5 as a decimal?
2/5 = 0.4.
How do you convert 2/5 to a decimal?
Divide 2 by 5. 2 ÷ 5 = 0.4.
What is 2/5 as a percent?
40%.
Is 2/5 a terminating or repeating decimal?
Terminating — the division ends with no remainder.