Here,

We follow the order of BODMAS

$$\begin{gathered} =\frac{5}{4}+\frac{14}{9}\times \frac{13}{8}÷\frac{13}{2}=? \\ = ? =\frac{5}{4}+\frac{14}{9}\times \frac{13}{8}\times \frac{2}{13} \\ =\frac{5}{4}+\frac{7}{18} \\ =\frac{45+14}{36}=\frac{59}{36} \end{gathered}$$

Hence, Option E is correct