5/8 as a Decimal
5/8 = 0.625
5/8 as a decimal is 0.625.
Step by step
- Divide 5 by 8: 0 whole (so the answer starts 0.), remainder 5.
- Bring down a 0: 50 ÷ 8 = 6, remainder 2.
- Bring down a 0: 20 ÷ 8 = 2, remainder 4.
- Bring down a 0: 40 ÷ 8 = 5, remainder 0.
- Result: 5/8 = 0.625.
Shortcut: 8 divides evenly into 1,000, so multiply the top and bottom by 125: 5/8 = 625/1,000 = 0.625. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 5/8 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.625
- Percent
- 62.5%
- Type
- Terminating decimal
- Equivalent fractions
- 10/16, 15/24, 20/32
- 5/8 inch in mm
- 15.875 mm
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 5/8 as a decimal?
5/8 = 0.625.
How do you convert 5/8 to a decimal?
Divide 5 by 8. 5 ÷ 8 = 0.625.
What is 5/8 as a percent?
62.5%.
Is 5/8 a terminating or repeating decimal?
Terminating — the division ends with no remainder.