\[\frac{2}{17} + \frac{8}{9} + \frac{15}{17} + \frac{5}{9} =\]
\[= \left( \frac{2}{17} + \frac{15}{17} \right) + \left( \frac{8}{9} + \frac{5}{9} \right) =\]
\[= \frac{17}{17} + \frac{13}{9} = 1 + 1\frac{4}{9} = 2\frac{4}{9}\]