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What Is 1/4 as a Decimal?
Updated Math & Study Help
Why that division works: a fraction is already a division problem written as a stack. 1/4 means "one divided by four," so converting it to a decimal is just doing that division instead of leaving it as a fraction.
Other ways to see the same number
- As a percentage: 0.25 = 25% (multiply the decimal by 100, or remember that 1/4 of 100 is 25).
- As a money amount: $0.25 is a quarter — a quarter of a dollar, which is where the coin's name comes from.
- As a place-value read-out: 0.25 is 2 tenths and 5 hundredths, which is the same as 25 hundredths, and 25/100 simplifies back to 1/4.
The other common fraction-to-decimal conversions people usually want in the same sitting:
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 1/3 | 0.333... (repeating) | 33.3...% |
1/4 terminates; 1/3 does not: 1 ÷ 4 comes out to a clean 0.25 that ends. 1 ÷ 3 produces 0.333... forever. That's because 4's only prime factor is 2, which fits the base-10 place-value system, while 3 does not.
Checking the answer: 0.25 × 4 = 1, so dividing 1 by 4 and getting 0.25 is consistent.
The closest sibling pages are What Is 1/8 as a Decimal? and What Is a Good GPA?.
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