Question
State if the following fraction has a terminating decimal$.\frac{59}{75}$
✓
Answer
$\frac{59}{75}$
$75=5 \times 5 \times 3=2^2 \times 3^1$
i.e. $75$ can not be expressed as $2^m \times 5^n$.
Hence, $\frac{59}{75}$ does not have terminating decimal representation.
$75=5 \times 5 \times 3=2^2 \times 3^1$
i.e. $75$ can not be expressed as $2^m \times 5^n$.
Hence, $\frac{59}{75}$ does not have terminating decimal representation.
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