[tex]x=\frac{1}{2}+\frac{1}{3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}[/tex]
[tex]y=\frac{1}{5}-\frac{1}{6}=\frac{6}{30}-\frac{5}{30}=\frac{1}{30}[/tex]
[tex](\frac{x}{y})^{-1}=(\frac{5}{6}\div \frac{1}{30})^{-1}=(\frac{5}{6}\cdot 30)^{-1}=(\frac{150}{6})^{-1}=\frac{6}{150}=\frac{1}{25}[/tex]
