The value of $$(5 + 3 \div 5 \times 5) \div (3 \div 3  of  6)  of  (4 \times 4 \div 4  of  4 + 4 \div 4 \times 4)$$ is:

As per the question,

$$(5 + 3 \div 5 \times 5) \div (3 \div 3 of 6) of (4 \times 4 \div 4 of 4 + 4 \div 4 \times 4)$$

Now,

$$\Rightarrow (5 + 3 \div 5 \times 5) \div (3 \div 3 of 6) of (4 \times 4 \div (4 \times 4)+ \dfrac{4}{4} \times 4))$$

$$\Rightarrow (5 + 3 \div 5 \times 5) \div (3 \div 3 of 6) of (4 \times \dfrac{4}{16} + 4)$$

$$\Rightarrow (5 + 3 \div 5 \times 5) \div (3 \div 3 of 6) of (5)$$

$$\Rightarrow (5 + 3 \div 5 \times 5) \div (3\div 18) of (5)$$

$$\Rightarrow (5 + 3 \div 5 \times 5) \div (\dfrac{1}{6}) of (5)$$

$$\Rightarrow \dfrac{(5 + 3 \div 5 \times 5)}{(\dfrac{5}{6})}$$

$$\Rightarrow \dfrac{(5 + \dfrac{3}{5} \times 5)}{ (\dfrac{5}{6})}$$

$$\Rightarrow \dfrac{(5 + 3)\times 6}{5}$$

$$\Rightarrow \dfrac{48}{ 5}$$

$$\Rightarrow 9\dfrac{3}{5}$$