Simplify: $$\left[\left(\frac{2}{3}\right)+\left(\frac{4}{5}\div \frac{2}{7}\right)\right]\div \left[\left(\frac{3}{2}\right)-\left(\frac{5}{6}\times \frac{3}{4}\right)\right]$$​​

Correct option is A

Given :

​$$\left[\left(\frac{2}{3}\right)+\left(\frac{4}{5}\div \frac{2}{7}\right)\right]\div \left[\left(\frac{3}{2}\right)-\left(\frac{5}{6}\times \frac{3}{4}\right)\right]$$​​
Solution:​

$$\frac{\frac{2}{3}+\frac{4}{5}\times\frac{7}{2}}{\frac{3}{2}-\frac{5}{6}\times\frac{3}{4}} \\ \ \\=\frac{\frac{2}{3}+\frac{14}{5}}{\frac{3}{2}-\frac{5}{8}}\\ \ \\=\frac{\frac{52}{15}}{\frac{7}{8}}\\ \ \\=\frac{52}{15}\times\frac{8}{7}\\ \ \\=\frac{416}{105}​$$​