" Evaluate " $$\frac{1}{\frac{4}{5} + \frac{3}{7}} \div \frac{8}{35}$$​.

Correct option is A

Given:

​$$\frac{1}{\frac{4}{5} + \frac{3}{7}} \div \frac{8}{35}$$​

Solution:

$$= \frac{1}{\frac{4}{5} + \frac{3}{7}} \div \frac{8}{35}\\ \ \\= \frac{1}{\frac{28+15}{35}} \times \frac{35}{8}\\ \ \\= \frac{1}{\frac{43}{35}} \times \frac{35}{8}\\ \ \\= \frac{35} {43} \times \frac{35}{8}\\ \ \\= \frac{1225}{344}\\ \ \\= 3\frac{193}{344}$$​