Simplify: $$\frac{3}{4}\left[1\frac{1}{6} - \left(1 \frac{1}{2} - \frac{1}{3}\right) \right]$$​​

Correct option is D

Given: 

​$$\frac{3}{4}\left[1\frac{1}{6} - \left(1 \frac{1}{2} - \frac{1}{3}\right) \right]$$ 

Concept Used: 

BODMAS rule;

​$$\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}$$​​
Solution:  

​$$=\frac{3}{4} \left[ 1 \frac{1}{6} - \left( 1 \frac{1}{2} - \frac{1}{3} \right) \right] \\ \ \\= \frac{3}{4} \left[ \frac{7}{6} - \left( \frac{3}{2} - \frac{1}{3} \right) \right] \\ \ \\= \frac{3}{4} \left[ \frac{7}{6} - \left( \frac{9 - 2}{6} \right) \right] \\ \ \\= \frac{3}{4} \left[ \frac{7}{6} - \frac{7}{6} \right] = \frac{3}{4} \times 0 = \bf 0$$​​