a) \(\dfrac{5}{3}+\dfrac{1}{4}\cdot\dfrac{8}{3}=\dfrac{5}{3}+\dfrac{8}{12}=\dfrac{7}{3}\)
b) \(\dfrac{5}{7}-\dfrac{9}{8}\div\dfrac{3}{2}=\dfrac{5}{7}-\dfrac{3}{4}=\dfrac{20}{28}-\dfrac{21}{28}=-\dfrac{1}{28}\)
c) \(\dfrac{5}{9}\cdot\dfrac{7}{13}+\dfrac{5}{9}\cdot\dfrac{9}{13}-\dfrac{5}{9}\cdot\dfrac{3}{13}=\dfrac{5}{9}\cdot\left(\dfrac{7}{13}+\dfrac{9}{13}-\dfrac{3}{13}\right)=\dfrac{5}{9}\cdot1=\dfrac{5}{9}\)