POR FAVOR ME AJUDEM!!!!!!!!!!!!!!!!!!

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