Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion:

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Question

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion: $\frac{23}{2^{3} 5^{2}}$

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A simplified fraction of the form $\frac{p}{q}$ has a terminating decimal expansion if and only if all the prime factors of q are either 2 or 5.
Given: q = 2³5²
As the only prime factors of the denominator are 2 and 5, the decimal expansion will be terminating.