1/4 as a Decimal
The fraction 1/4 converted to a decimal, with a step-by-step solution.
How to Convert 1/4 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
1 ÷ 4
- 2
4 does not go into 1, so the whole-number part is 0. Write "0." and continue with a remainder of 1.
0 . …
- 3
Bring down a 0 to make 10. 4 goes into 10 2 times (2 × 4 = 8), remainder 2.
10 ÷ 4 = 2, 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 1/4 a Terminating or Repeating Decimal?
1/4 is a terminating decimal: the division ends exactly at 0.25 with no repeating digits.
1/4 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.3 |
| Nearest hundredth | 0.25 |
| Nearest thousandth | 0.250 |
1/4 as a Mixed Number
1/4 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 0.25.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 4 = 0.25
- 2
Multiply by 100 to get the percentage.
0.25 × 100 = 25%
Frequently Asked Questions
What is 1/4 as a decimal?
1/4 as a decimal is 0.25. You get it by dividing the numerator 1 by the denominator 4.
Is 1/4 a terminating or repeating decimal?
1/4 is a terminating decimal — it ends exactly at 0.25 with no repeating digits.
What is 1/4 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 1/4 ≈ 0.250. To the nearest hundredth it is 0.25, and to the nearest tenth it is 0.3.
Is 1/4 a rational number?
Yes. 1/4 is a ratio of two integers (1 over 4), so it is a rational number — even though its decimal form terminates.