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

Answer

$\frac{5}{12}$
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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