\(\dfrac{1}{3}\cdot\dfrac{4}{5}+\dfrac{1}{3}\cdot\dfrac{6}{5}-\dfrac{4}{3}\)
\(=\dfrac{1}{3}\cdot\dfrac{4}{5}+\dfrac{1}{3}\cdot\dfrac{6}{5}+\dfrac{1}{3}\cdot-4\)
\(=\dfrac{1}{3}\cdot\left(\dfrac{4}{5}+\dfrac{6}{5}-4\right)\)
\(=\dfrac{1}{3}\cdot\left(\dfrac{10}{5}-4\right)\)
\(=\dfrac{1}{3}\cdot\left(2-4\right)\)
\(=\dfrac{1}{3}\cdot-2\)
\(=-\dfrac{2}{3}\)
=1/3(4/5+6/5-4)
=1/3*(-2)=-2/3