1/8 as a Decimal
1/8 = 0.125
1/8 as a decimal is 0.125.
Step by step
- Divide 1 by 8: 0 whole (so the answer starts 0.), remainder 1.
- Bring down a 0: 10 ÷ 8 = 1, remainder 2.
- Bring down a 0: 20 ÷ 8 = 2, remainder 4.
- Bring down a 0: 40 ÷ 8 = 5, remainder 0.
- Result: 1/8 = 0.125.
Shortcut: 8 divides evenly into 1,000, so multiply the top and bottom by 125: 1/8 = 125/1,000 = 0.125. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 1/8 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.125
- Percent
- 12.5%
- Type
- Terminating decimal
- Equivalent fractions
- 2/16, 3/24, 4/32
- 1/8 inch in mm
- 3.175 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 1/8 as a decimal?
1/8 = 0.125.
How do you convert 1/8 to a decimal?
Divide 1 by 8. 1 ÷ 8 = 0.125.
What is 1/8 as a percent?
12.5%.
Is 1/8 a terminating or repeating decimal?
Terminating — the division ends with no remainder.