3/8 as a Decimal
3/8 = 0.375
3/8 as a decimal is 0.375.
Step by step
- Divide 3 by 8: 0 whole (so the answer starts 0.), remainder 3.
- Bring down a 0: 30 ÷ 8 = 3, remainder 6.
- Bring down a 0: 60 ÷ 8 = 7, remainder 4.
- Bring down a 0: 40 ÷ 8 = 5, remainder 0.
- Result: 3/8 = 0.375.
Shortcut: 8 divides evenly into 1,000, so multiply the top and bottom by 125: 3/8 = 375/1,000 = 0.375. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 3/8 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.375
- Percent
- 37.5%
- Type
- Terminating decimal
- Equivalent fractions
- 6/16, 9/24, 12/32
- 3/8 inch in mm
- 9.525 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 3/8 as a decimal?
3/8 = 0.375.
How do you convert 3/8 to a decimal?
Divide 3 by 8. 3 ÷ 8 = 0.375.
What is 3/8 as a percent?
37.5%.
Is 3/8 a terminating or repeating decimal?
Terminating — the division ends with no remainder.