\[3\frac{5}{9} + \left( - 2\frac{1}{4} \right) - \left( - 4\frac{5}{6} \right) - 5\frac{2}{3} =\]
\[= 3\frac{20}{36} - \frac{9}{36} + 4\frac{30}{36} - 5\frac{24}{36} =\]
\[= 7\frac{50}{36} - 7\frac{33}{36} = \frac{17}{36}\]