\(3\times\dfrac{4}{15}+2\times\dfrac{4}{15}-5\times\dfrac{2}{3}\times\dfrac{2}{5}\)
\(=3\times\dfrac{4}{15}+2\times\dfrac{4}{15}-5\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\left(3+2-5\right)\)
\(=\dfrac{4}{15}\times\left(5-5\right)\)
\(=\dfrac{4}{15}\times0=0\)
