\(...=\dfrac{4}{5}x\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\)
\(=\dfrac{4}{5}x1\)
\(=\dfrac{4}{5}\)
\(\dfrac{2}{3}\times\dfrac{4}{5}+\dfrac{1}{3}\times\dfrac{4}{5}\\ =\dfrac{4}{5}\times\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\\ =\dfrac{4}{5}\times1\\ =\dfrac{4}{5}\)
\(\dfrac{2}{3}.\dfrac{4}{5}+\dfrac{1}{3}.\dfrac{4}{5}\)
\(=\dfrac{4}{5}.\left(\dfrac{2}{3}+\dfrac{1}{3}\right)=\dfrac{4}{5}.1=\dfrac{4}{5}\)
\(\dfrac{2}{3}\times\dfrac{4}{5}+\dfrac{1}{3}\times\dfrac{4}{5}\)
\(=\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\times\dfrac{4}{5}\)
\(=1\times\dfrac{4}{5}\)
\(=\dfrac{4}{5}\)