What is 7/8 × 7/8 + 5/6 × 5/6 + 7/8 × 5/37/8 × 7/8 - 5/6 × 5/6 equal to ?

Answer: Option C

$$\begin{array}{rl}& \text{Given expression,}\\ & \frac{{\left(\frac{7}{8}+\frac{5}{6}\right)}^2}{{\left(\frac{7}{8}\right)}^2-{\left(\frac{5}{6}\right)}^2}\\ & =\frac{{\left(\frac{7}{8}+\frac{5}{6}\right)}^2}{\left(\frac{7}{8}+\frac{5}{6}\right)\left(\frac{7}{8}-\frac{5}{6}\right)}\\ & =\frac{\left(\frac{7}{8}+\frac{5}{6}\right)}{\left(\frac{7}{8}-\frac{5}{6}\right)}\\ & =\left(\frac{41}{24}\times 24\right)\\ & =41\end{array}$$