Without actually dividing find if is terminating decimal.

Foundation

Mathematics Foundation

HCF and LCM

Recurring Decimal Number

Linear Equations in One Variable

Question

Without actually dividing find if $\frac{41}{42}$ is terminating decimal.

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Given $\frac{41}{42}$

The

\frac{p}{q}

is terminating if

(i) P & Q are co-prime and

(ii) q is of the form 2ⁿ5^m where n & m are non negative

\frac{41}{42}

The denominator 42 is not from of 2ⁿ5^m

Then

\frac{41}{42}

is not the terminating decimal