1/20 as a Decimal
1/20 = 0.05
1/20 as a decimal is 0.05.
Step by step
- Divide 1 by 20: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 20 = 0, remainder 10.
- Bring down a 0: 100 ÷ 20 = 5, remainder 0.
- Result: 1/20 = 0.05.
Shortcut: 20 divides evenly into 100, so multiply the top and bottom by 5: 1/20 = 5/100 = 0.05. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 1/20 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.05
- Percent
- 5%
- Type
- Terminating decimal
- Equivalent fractions
- 2/40, 3/60, 4/80
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 1/20 as a decimal?
1/20 = 0.05.
How do you convert 1/20 to a decimal?
Divide 1 by 20. 1 ÷ 20 = 0.05.
What is 1/20 as a percent?
5%.
Is 1/20 a terminating or repeating decimal?
Terminating — the division ends with no remainder.