\(\dfrac{2}{3}\times\dfrac{3}{4}+\dfrac{3}{4}\times\dfrac{2}{5}=\dfrac{3}{4}\times\left(\dfrac{2}{3}+\dfrac{2}{5}\right)=\dfrac{3}{4}\times\dfrac{16}{15}=\dfrac{4}{5}\)
\(=\dfrac{3}{4}\times\left(\dfrac{2}{3}+\dfrac{2}{5}\right)\)
\(=\dfrac{3}{4}\times\dfrac{16}{15}\)
\(=\dfrac{48}{60}=\dfrac{4}{5}\)
\(\dfrac{2}{3}\times\dfrac{3}{4}+\dfrac{3}{4}\times\dfrac{2}{5}\)
\(=\dfrac{3}{4}\times\left(\dfrac{2}{3}+\dfrac{2}{5}\right)\)
\(=\dfrac{3}{4}\times\dfrac{16}{15}\)
\(=\dfrac{3\times4\times4}{4\times3\times5}\)
\(=\dfrac{4}{5}\)