Question

$0.12\overline{45}$ is the decimal representation of the rational number .

• A. $\frac{411}{300}$
• B. $\frac{41}{3300}$
• C. $\frac{411}{3300}$

Answer 1

The correct option is C $\frac{411}{3300}$

Let $x=0.12\overline{45}$
$100x=12.\overline{45}$----(i)
$10000x=1245.\overline{45}$----(ii)
Subtracting (i) from (ii), we get,
$9900x=1233$
$x=\frac{1233}{9900}=\frac{411}{3300}$