What is the value of the following expression?
​$$(24÷3 of \frac{1}{6})×(\frac{4}{5}÷\frac{9}{8}×\frac{3}{5})÷(\frac{4}{7}÷\frac{3}{14} of \frac{3}{14})$$ ​

Correct option is B

Concept Used:

Solution:
​$$\left( \frac{24}{3} \times \frac{1}{6} \right) \times \left( \frac{4}{5} \div \frac{9}{8} \times \frac{3}{5} \right) \div \left( \frac{4}{7} \div \frac{3}{14} \times \frac{3}{14} \right) \\\ \\= \left( \frac{24}{\frac{1}{2}} \right) \times \left( \frac{32}{75} \right) \div \left( \frac{4}{7} \div \frac{9}{196} \right) \\\ \\= \left( 24 \times 2 \right) \times \left( \frac{32}{75} \right) \div \left( \frac{112}{9} \right) \\\ \\= 48 \times \frac{32}{75} \times \frac{9}{112} \\\ \\= \frac{288}{175}$$​​