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