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Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator.

If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.

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Q: How can you predict whether a fraction will give a recurring or terminating decimal?
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How can you predict whether a quotient will be a terminating decimal or a repeating decimal?

They are the same thing a non-terminating is a non-repeating decimal


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