question_answer

The value of \[\frac{\text{3}}{\text{4}}\text{ }\!\!\div\!\!\text{ 2}\frac{\text{1}}{\text{4}}\text{ of }\frac{\text{2}}{\text{3}}\text{-}\frac{\frac{\text{1}}{\text{2}}\text{-}\frac{\text{1}}{\text{3}}}{\frac{\text{1}}{\text{2}}\text{+}\frac{\text{1}}{\text{3}}}\text{ }\!\!\times\!\!\text{ 3}\frac{\text{1}}{\text{3}}\text{+}\frac{\text{5}}{\text{6}}\text{is}\]

A)  \[\frac{7}{18}\]                                 

B)  \[\frac{49}{54}\]                   

C)  \[\frac{2}{3}\]                       

D)         \[\frac{1}{6}\]