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Why it ends cleanly: a fraction gives a terminating decimal when the bottom number's only prime factors are 2 and 5. Four is 2 x 2, so 3/4 divides evenly into hundredths — no repeating digits.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/4 | 0.25 | 25% |
| 1/2 | 0.50 | 50% |
| 3/4 | 0.75 | 75% |
Easy check: 1/4 is 0.25, so 3/4 is just three of those — 0.25 x 3 = 0.75.
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