\(\dfrac{5}{28}:\dfrac{7}{3}\times3+\dfrac{15}{28}\times\dfrac{8}{14}\)
\(=\left(\dfrac{5}{28}\times3\right):\dfrac{7}{3}+\dfrac{15}{28}\times\dfrac{8}{14}\)
\(=\dfrac{15}{28}:\dfrac{7}{3}+\dfrac{15}{18}\times\dfrac{8}{14}\)
\(=\dfrac{15}{28}\times\dfrac{3}{7}+\dfrac{15}{28}\times\dfrac{8}{14}\)
\(=\dfrac{15}{28}\times\left(\dfrac{3}{7}+\dfrac{8}{14}\right)\)
\(=\dfrac{15}{28}\times\left(\dfrac{6}{14}+\dfrac{8}{14}\right)\)
\(=\dfrac{15}{28}\times\dfrac{14}{14}=\dfrac{15}{28}\times1=\dfrac{15}{28}\)