​$$\text{The value of } 5\frac{7}{9} \div 4\frac{1}{3} \times 6\frac{9}{14} + \frac{7}{9} \times 18 \text{ is:}$$​​

Correct option is A

Given:

​$$5\frac79\div4\frac13\times6\frac9{14}+\frac79\times18$$   

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

Solution:

​$$5\frac79\div4\frac13\times6\frac9{14}+\frac79\times18$$​       

$$\frac{52}9\div\frac{13}3\times\frac{93}{14}+7\times2$$

$$\frac{52}9\times\frac{3}{13}\times\frac{93}{14}+7\times2$$ 

$$\frac49\times\frac31\times\frac{93}{14}+14$$ 

$$\frac41\times\frac{31}{14}+14$$ 

$$\frac{62}7+14$$ 

$$\frac{62+98}7$$ 

$$\frac{160}7$$ 

$$22\frac67$$ 

Option (a)