Simplify
​$$\frac{\left(\frac{1}{2} \div \frac{3}{4} \, \text{of} \, \frac{5}{6}\right)}{\left(\frac{1}{2} \div \frac{3}{4} \times \frac{5}{6}\right)} + \frac{\left(2 + 2 \times 2\right)}{\left(2 \div 2 \times 2\right)}$$​​

Correct option is C

Concept Used:

Solution:
​$$\frac{\frac{1}{2} \div \frac{3}{4} \, \text{of} \, \frac{5}{6}}{\frac{1}{2} \div \frac{3}{4} \times \frac{5}{6}} + \frac{2 + 2 \times 2}{2 \div 2 \times 2} \\= \frac{\frac{1}{2} \div \frac{5}{8}}{\frac{1}{2} \times \frac{4}{3} \times \frac{5}{6}} + \frac{2 + 4}{1 \times 2} \\= \frac{\frac{4}{5}}{\frac{5}{9}} + \frac{6}{2} \\= \frac{4}{5} \times \frac{9}{5} + 3 \\= \frac{36}{25} + 3 \\= \frac{36}{25} + \frac{75}{25} \\= \frac{111}{25}$$​​