Let $x = 2.43$
In $2.43,$ the number $4$ on the right side of the decimal point is not recurring.
So, in order to get only recurring digits on the right side of the decimal point, we will multiply $2.43$ by $10.$
$\therefore 10x = 24.3 …(i)$
$\therefore 10x = 24.333…$
Here, digit 3 is the only recurring digit. Thus, by multiplying both sides by $10, 100x = 243.333…$
$\therefore 100x= 243.3 …(ii)$
Subtracting (i) from (ii),
$100x – 10x = 243.3 – 24.3$
$\therefore 90x = 219$
$\therefore \quad x=\frac{219}{90}=\frac{3 \times 73}{3 \times 30}=\frac{73}{30}$
$\therefore \quad 2.4 \dot{3}=\frac{73}{30}$