Question
Without actual division, find the following rational numbers are terminating decimals.$\frac{5}{12}$

Answer

Denominator of $\frac{5}{12}$ is $12.$
And,
$12 = 2^2 \times 3$
So, $12$ has a prime factor $3,$ which is other than $2$ and $5.$
Thus, $\frac{5}{12}$ is not a terminating decimal.

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