3/4 as a Decimal
3/4 = 0.75
3/4 as a decimal is 0.75.
Step by step
- Divide 3 by 4: 0 whole (so the answer starts 0.), remainder 3.
- Bring down a 0: 30 ÷ 4 = 7, remainder 2.
- Bring down a 0: 20 ÷ 4 = 5, remainder 0.
- Result: 3/4 = 0.75.
Shortcut: 4 divides evenly into 100, so multiply the top and bottom by 25: 3/4 = 75/100 = 0.75. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 3/4 gives a terminating decimal.
Details
- Decimal (rounded)
- 0.75
- Percent
- 75%
- Type
- Terminating decimal
- Equivalent fractions
- 6/8, 9/12, 12/16
- 3/4 inch in mm
- 19.05 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 3/4 as a decimal?
3/4 = 0.75.
How do you convert 3/4 to a decimal?
Divide 3 by 4. 3 ÷ 4 = 0.75.
What is 3/4 as a percent?
75%.
Is 3/4 a terminating or repeating decimal?
Terminating — the division ends with no remainder.