The value of: $$\left[\frac{5}{7}of1\frac{3}{8}-\frac{5}{8}of\frac{6}{7}\right]\div \left[1-\frac{1}{7}\times \left(\frac{5}{12}+\frac{1}{3}\right)\right]\times \frac{\frac{1}{7}-\frac{1}{9}}{\frac{1}{7}+\frac{1}{9}}$$

Expression : $$\left[\frac{5}{7}of1\frac{3}{8}-\frac{5}{8}of\frac{6}{7}\right]\div \left[1-\frac{1}{7}\times \left(\frac{5}{12}+\frac{1}{3}\right)\right]\times \frac{\frac{1}{7}-\frac{1}{9}}{\frac{1}{7}+\frac{1}{9}}$$

= $$\left[\frac{55}{56}-\frac{30}{56}\right]\div \left[1-\frac{1}{7}\times \left(\frac{27}{36}\right)\right]\times \frac{2}{16}$$

= $$\frac{25}{56}\div \left[1-\frac{3}{28}\right]\times \frac{2}{16}$$

= $$\frac{25}{56}\times \frac{28}{25}\times \frac{2}{16}=\frac{1}{16}$$

=> Ans - (D)