Gud evening please answer this

Dear Student,
$$\begin{gathered} \frac{2}{5}+\frac{5}{4} \\ = \frac{(2\times 4)+(5\times 5)}{20} \{ LCM of 5 and 4 is 5\times 4=20\} \\ =\frac{8+25}{20} \\ =\frac{33}{20} \end{gathered}$$

Reciprocal of 33/20 is 20/33
Sum of digits of numerator and denominator = 20+33 = 53 Ans.
Regards