Answer
$-\frac{17}{45}$
Work Step by Step
$(\frac{2}{9}+\frac{4}{9})(\frac{1}{3}-\frac{9}{10})$
$=(\frac{6}{9})(\frac{10}{30}-\frac{27}{30})$
$=(\frac{2}{3})(-\frac{17}{30})$
$=-(\frac{2}{3}\times\frac{17}{30})$
$=-(\frac{1}{3}\times\frac{17}{15})$
$=-\frac{17}{45}$