The value of $$8 \div [(9 - 5) \div \left\{(4 \div 2 of 4) - (8 \div 8 of 16) + (4 \times 2 \div 8)\right\}]$$ is:

Given that $$8 \div [(9 - 5) \div \left\{(4 \div 2 of 4) - (8 \div 8 of 16) + (4 \times 2 \div 8)\right\}]$$

$$\Rightarrow 8 \div [(4) \div \left\{(4 \div 8) - (8 \div 128) + (8 \div 8)\right\}]$$

$$\Rightarrow 8 \div [4\div { \frac{1}{2} - \frac{1}{16}+1}] $$

$$\Rightarrow 8 \div [ 4 \div { \frac {8-1+16}{16}}] $$

$$\Rightarrow 8 \div [ 4 \div {\frac{23}{16}}] $$

$$\Rightarrow 8 \div [ 4 \times \frac{16}{23}]$$

$$\Rightarrow \frac {8\times 23} {4\times 16} $$

$$\Rightarrow \frac{23}{8} $$ Ans