Answer
$\frac{4}{45}$
Work Step by Step
$\frac{2}{3}(\frac{4}{5}-\frac{2}{3})$
(First solve Bracket)
= $\frac{2}{3}(\frac{4\times3}{5\times3}-\frac{2\times5}{3\times5})$ (LCM of 5 & 3 is 15)
= $\frac{2}{3}(\frac{12}{15}-\frac{10}{15})$
= $\frac{2}{3}(\frac{12-10}{15})$ (subtraction of fractions with same denomiator)
= $\frac{2}{3}(\frac{2}{15})$
= $\frac{2}{3}\times\frac{2}{15}$
= $\frac{4}{45}$
