\(\left [ \left ( \frac{5}{7} \right )^{2}-\left ( \frac{3}{21} \right )^{2} \right ].\frac{4}{3}+\frac{11}{2}\)
\(=\left [ \frac{25}{49}-\frac{1}{49} \right ].\frac{4}{3}+\frac{11}{2}\)
\(=\frac{24}{49}.\frac{4}{3}+\frac{11}{2}\)
\(=\frac{32}{49}+\frac{11}{2}\)
\(=\frac{603}{98}\)