3/10 as a Decimal
3/10 = 0.3
3/10 as a decimal is 0.3.
Step by step
- Divide 3 by 10: 0 whole (so the answer starts 0.), remainder 3.
- Bring down a 0: 30 ÷ 10 = 3, remainder 0.
- Result: 3/10 = 0.3.
Shortcut: 10 divides evenly into 10, so multiply the top and bottom by 1: 3/10 = 3/10 = 0.3. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 3/10 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.3
- Percent
- 30%
- Type
- Terminating decimal
- Equivalent fractions
- 6/20, 9/30, 12/40
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 3/10 as a decimal?
3/10 = 0.3.
How do you convert 3/10 to a decimal?
Divide 3 by 10. 3 ÷ 10 = 0.3.
What is 3/10 as a percent?
30%.
Is 3/10 a terminating or repeating decimal?
Terminating — the division ends with no remainder.