Question

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

Answer 1

Given $\frac{41}{42}$

The $\frac{p}{q}$is terminating if

(i) P & Q are co-prime and

(ii) q is of the form $2^n{5}^m$ where n & m are non negative

In $\frac{41}{42}$

The denominator 42 is not from of $2^n{5}^m$

Then $\frac{41}{42}$ is not the terminating decimal