Answer
$-1\frac{8}{9}.$
Work Step by Step
We simplify by removing the parentheses and add the terms as follows:
$$
\left( -\frac{5}{9} \right)\left( 3\frac{2}{5} \right)=-\frac{5}{9} \frac{17}{5}=-\frac{17}{9}
=-1\frac{8}{9}.
$$
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