#### Answer

$-\frac{2}{3}$

#### Work Step by Step

$-\frac{4}{9}-\frac{2}{9}=-\frac{6}{9} = -\frac{2}{3}$
For two terms with the same sign, add their absolute values. Use the sign that both terms have as the answers. Both terms here have a common base, so all that is left to do is the operators and then simplify.