Find the value of \[ [5-\{6-(5-\overline{4-3})\}] \text { of } \frac{1+\frac{1}{2}}{1-\frac{1}{2}} \div \frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}-\frac{1}{3}} \]

\[
\text { Solution: } \begin{aligned}
{[5-} & \{6-(5-\overline{4-3})\}] \text { of } \frac{1+\frac{1}{2}}{1-\frac{1}{2}} \div \frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}-\frac{1}{3}} \\
& =[5-\{6-(5-1)\}] \text { of } \frac{\frac{3}{2}}{\frac{1}{2}} \sqrt{\frac{6}{6}} \\
& =\{5-(6-4)\} \text { of }\left(\frac{3}{2} \times \frac{2}{1}\right) \div\left(\frac{5}{6} \times \frac{6}{1}\right) \\
& =(5-2) \text { of } 3 \div 5 \\
& =3 \text { of } 3 \div 5=3 \times \frac{3}{5}=\frac{9}{5}
\end{aligned}
\]