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It isn't always strictly necessary; but imagine putting the result of some complicated calculations as 335/670. Anybody might ask, "why didn't you write this as 1/2?" It is usually preferable, easier to understand, if the result is as simple as possible. In the case of fractions, this means reducing the fraction by taking out any common factors.

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Q: Why is there a need to reduce fractions to their lowest terms?
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