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You cannot be sure that what appear to be a non-repeating decimal does not in fact repeat after, say, a million places, in which case it would be equal to a certain fraction. If it really is non-repeating, then it is irrational, which is a fancy way of saying it does not represent a fraction using two integers.

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Q: How can you verify that a particular non-repeating decimal is the equivalent of a certain fraction?
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