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

$$5\div[5 + 8 - \left\{ 4 + (4 of 2 \div 4) - (2 \div 4 of 2)\right\}]$$

$$\Rightarrow 5\div[13 - \left\{ 4 + (4 \times \dfrac {2}{4}) - (2 \div 4 \times  2)\right\}]$$

$$ \Rightarrow 5\div[13 - \left\{ 4 + (2) - (2 \div 8)\right\}]$$

$$ \Rightarrow 5\div[13 - \left\{ 6 - (\dfrac {1}{4})\right\}]$$

$$ \Rightarrow 5\div[13 -\dfrac {23}{4}]$$

$$ \Rightarrow 5\div[\dfrac {52-23}{4}] $$

$$ \Rightarrow 5\div[\dfrac {29}{4}] $$

$$ \Rightarrow 5\times \dfrac {4}{29}$$

$$ \Rightarrow \dfrac {20}{29}$$ Ans