\[x = 3\frac{4}{7};\ \ y = - 5\frac{5}{9}:\]
\[|x|\ :|y| = \left| 3\frac{4}{7} \right|\ :\left| - 5\frac{5}{9} \right| =\]
\[= \frac{25}{7}\ :\frac{50}{9} = \frac{25 \cdot 9}{7 \cdot 50} = \frac{9}{14}.\]