= 3/2 x (4/7 + 3/7)
= 3/2 x 1
= 3/2
\(\dfrac{3}{2}\times\dfrac{4}{7}+\dfrac{3}{7}\times\dfrac{3}{2}\\ =\dfrac{3}{7}\times\dfrac{4}{2}+\dfrac{3}{7}\times\dfrac{3}{2}\\ =\dfrac{3}{7}\times\left(\dfrac{4}{2}+\dfrac{3}{2}\right)\\ =\dfrac{3}{7}\times\dfrac{7}{2}\\ =\dfrac{3}{2}\)
\(=\dfrac{3}{2}\times\left(\dfrac{4}{7}+\dfrac{3}{7}\right)\)
\(=\dfrac{3}{2}\times1\)
\(=\dfrac{3}{2}\)