Question

Without actually dividing find if $\frac{13}{20}$ is terminating decimal.

Answer 1

Given $\frac{13}{20}$

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 $\frac{13}{20}$

The denominator is 20 from of $20=2\times 2\times 5=2^2{5}^1$

Then $\frac{13}{20}$ is the terminating decimal