\(\frac{5}{9} + \frac{1}{9} = \frac{5+1}{9} = \frac{6}{9} = \frac{2}{3}\)
\(\frac{8}{17} - \frac{2}{17} = \frac{8-2}{17} = \frac{6}{17}\)
\(\frac{8}{25} - \frac{3}{25} + \frac{9}{25} = \frac{8 - 3 + 9}{25} = \frac{5 + 9}{25} = \frac{14}{25}\)
\(\frac{21}{57} + \frac{31}{57} - \frac{9}{57} = \frac{21 + 31 - 9}{57} = \frac{52 - 9}{57} = \frac{43}{57}\)