To solve the expression \( \frac{13}{5} \times \frac{7}{8} - \frac{11}{40} \), we first perform the multiplication:
\( \frac{13}{5} \times \frac{7}{8} = \frac{13 \times 7}{5 \times 8} = \frac{91}{40} \)
Now, we substitute this result back into the original expression:
\( \frac{91}{40} - \frac{11}{40} = \frac{91 - 11}{40} = \frac{80}{40} = 2 \)
Therefore, the final result is \( 2 \).