Subject - Mathematics:

General

MCQ - 351-9083

Question:

The decimal expansion of 49/40 will terminate after how many places of decimal?

Correct Answer: C

Explanation:

$\frac{49}{40}$ = $\frac{49}{2x2x2x5}$ = $\frac{49}{235}$

We know that if $\frac{p}{q}$ is a rational number, such that p and q are co-prime and q has factors in the form of 2m.5n, then, decimal expansion of will $\frac{p}{q}$ terminate after the highest power of 2 or 5 (whichever is greater).
Therefore, $\frac{49}{40}$ will terminate after 3 places of decimal.

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