Question

The smallest rational number by which $\frac{1}{3}$should be multiplied so that its decimal expansion terminates after one place of decimal, is

(a) $\frac{3}{10}$
(b) $\frac{1}{10}$
(c) 3
(d) $\frac{3}{100}$

Answer 1

For terminating the decimal expansion after one place of decimal, the highest power of m and n in should be 1.

Let

We will get:

Thus, it is evident that we multiplied it by

Hence, the correct choice is (a).