\(\dfrac{5}{9}\times\dfrac{8}{17}+\dfrac{3}{17}:\dfrac{9}{7}-\dfrac{5}{9}=\dfrac{40}{153}+\dfrac{3}{17}\times\dfrac{7}{9}-\dfrac{5}{9}=\dfrac{40}{153}+\dfrac{21}{153}-\dfrac{5}{9}=\dfrac{61}{153}-\dfrac{5}{9}\)
\(=\dfrac{61}{153}-\dfrac{85}{153}=\dfrac{-24}{153}=\dfrac{-8}{51}\)