# The smallest rational number by which

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) $\frac{1}{10}$

(b) $\frac{3}{10}$

(c) 3

(d) 30

Solution:

Give number is $\frac{1}{3}$. Now multiplying by $\frac{3}{10}$ in the given number, we have

$\frac{1}{3}=\frac{1}{3} \times \frac{3}{10}$

$\Rightarrow \frac{1}{3}=\frac{1}{10}$

$\Rightarrow \frac{1}{3}=0.1$

Hence the correct option is