1/5 as a Decimal
1/5 = 0.2
1/5 as a decimal is 0.2.
Step by step
- Divide 1 by 5: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 5 = 2, remainder 0.
- Result: 1/5 = 0.2.
Shortcut: 5 divides evenly into 10, so multiply the top and bottom by 2: 1/5 = 2/10 = 0.2. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 1/5 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.2
- Percent
- 20%
- Type
- Terminating decimal
- Equivalent fractions
- 2/10, 3/15, 4/20
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 1/5 as a decimal?
1/5 = 0.2.
How do you convert 1/5 to a decimal?
Divide 1 by 5. 1 ÷ 5 = 0.2.
What is 1/5 as a percent?
20%.
Is 1/5 a terminating or repeating decimal?
Terminating — the division ends with no remainder.