\(\left(\dfrac{5}{2}+\dfrac{17}{12}\right):\dfrac{3}{2}=\dfrac{47}{12}.\dfrac{2}{3}=\dfrac{47}{18}\\ \left(\dfrac{5}{2}+\dfrac{17}{12}\right):\dfrac{3}{2}=\left(\dfrac{5}{2}+\dfrac{17}{12}\right).\dfrac{2}{3}=\dfrac{5}{2}.\dfrac{2}{3}+\dfrac{17}{12}.\dfrac{2}{3}=\dfrac{5}{3}+\dfrac{17}{18}=\dfrac{47}{18}\)
C1: \(\left(\dfrac{5}{2}+\dfrac{17}{12}\right):\dfrac{3}{2}=\dfrac{47}{12}:\dfrac{3}{2}=\dfrac{47}{18}\)
C2: \(\left(\dfrac{5}{2}+\dfrac{17}{12}\right):\dfrac{3}{2}=\dfrac{5}{2}:\dfrac{3}{2}+\dfrac{17}{12}:\dfrac{3}{2}=\dfrac{5}{3}+\dfrac{17}{18}=\dfrac{47}{18}\)