\(\frac{\frac{5}{22}+\frac{3}{13}-\frac{1}{2}}{\frac{4}{13}-\frac{2}{11}+\frac{3}{2}}=\frac{2.11.13\left(\frac{5}{22}+\frac{3}{13}-\frac{1}{2}\right)}{2.11.13\left(\frac{4}{13}-\frac{2}{11}+\frac{3}{2}\right)}=\frac{65+66-143}{88-52+429}=\frac{-12}{465}=\frac{-4}{155}\)