4/5 as a Decimal
4/5 = 0.8
4/5 as a decimal is 0.8.
Step by step
- Divide 4 by 5: 0 whole (so the answer starts 0.), remainder 4.
- Bring down a 0: 40 ÷ 5 = 8, remainder 0.
- Result: 4/5 = 0.8.
Shortcut: 5 divides evenly into 10, so multiply the top and bottom by 2: 4/5 = 8/10 = 0.8. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 4/5 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.8
- Percent
- 80%
- Type
- Terminating decimal
- Equivalent fractions
- 8/10, 12/15, 16/20
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 4/5 as a decimal?
4/5 = 0.8.
How do you convert 4/5 to a decimal?
Divide 4 by 5. 4 ÷ 5 = 0.8.
What is 4/5 as a percent?
80%.
Is 4/5 a terminating or repeating decimal?
Terminating — the division ends with no remainder.