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Fractions are infinitely dense. What that means is that the only fraction that can be closest to a given fraction is the fraction itself. Given any other candidate fraction there are infinitely many fractions between it and the target fraction, so each one of those infinitely many fractions is closer.

Therefore, the answer to the question is -225/1000 or, equivalently, 9/40.

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10y ago

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9y ago
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Q: What fraction is negative 0.225 closest to?
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