#### Answer

$-6\frac{3}{4}$

#### Work Step by Step

$(-\frac{2}{3}-\frac{7}{3})\div\frac{4}{9}$
$=(-\frac{9}{3})\div\frac{4}{9}$
$=(-\frac{3}{1})\div\frac{4}{9}$
$=-(\frac{3}{1}\div\frac{4}{9})$
$=-(\frac{3}{1}\times\frac{9}{4})$
$=-\frac{27}{4}$
$=-6\frac{3}{4}$