3/4 as a Decimal
The fraction 3/4 converted to a decimal, with a step-by-step solution.
How to Convert 3/4 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
3 ÷ 4
- 2
4 does not go into 3, so the whole-number part is 0. Write "0." and continue with a remainder of 3.
0 . …
- 3
Bring down a 0 to make 30. 4 goes into 30 7 times (7 × 4 = 28), remainder 2.
30 ÷ 4 = 7, r 2
- 4
Bring down a 0 to make 20. 4 goes into 20 5 times (5 × 4 = 20), remainder 0.
20 ÷ 4 = 5, r 0
Is 3/4 a Terminating or Repeating Decimal?
3/4 is a terminating decimal: the division ends exactly at 0.75 with no repeating digits.
3/4 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.8 |
| Nearest hundredth | 0.75 |
| Nearest thousandth | 0.750 |
3/4 as a Mixed Number
3/4 is a proper fraction (the numerator is smaller than the denominator), so it is less than 1 and has no whole-number part — its value is just 0.75.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
3 ÷ 4 = 0.75
- 2
Multiply by 100 to get the percentage.
0.75 × 100 = 75%
Frequently Asked Questions
What is 3/4 as a decimal?
3/4 as a decimal is 0.75. You get it by dividing the numerator 3 by the denominator 4.
Is 3/4 a terminating or repeating decimal?
3/4 is a terminating decimal — it ends exactly at 0.75 with no repeating digits.
What is 3/4 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 3/4 ≈ 0.750. To the nearest hundredth it is 0.75, and to the nearest tenth it is 0.8.
Is 3/4 a rational number?
Yes. 3/4 is a ratio of two integers (3 over 4), so it is a rational number — even though its decimal form terminates.