The decimal representation of


The decimal representation of $\frac{71}{150}$ is

(a) a terminating decimal
(b) a non-terminating, repeating decimal
(b) a non-terminating and non-repeating decimal
(d) none of these



(b) a non-terminating, repeating decimal

$\frac{71}{150}=\frac{71}{2 \times 3 \times 5^{2}}$

We know that 2, 3 or 5 are not factors of 71.
So, it is in its simplest form.

And, $\left(2 \times 3 \times 5^{2}\right) \neq\left(2^{m} \times 5^{n}\right)$

$\therefore \frac{71}{150}=0.47 \overline{3}$

 Hence, it is a non-terminating, repeating decimal.

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