Answer
$\frac{2}{3}$
Work Step by Step
First, we multiply the numerators by each other and the denominators by each other:
$\frac{4}{9}\times\frac{3}{2}=\frac{4\times3}{9\times2}=\frac{12}{18}$
Next, we simplify the resultant expression to obtain the answer:
$\frac{12}{18}=\frac{2\times6}{3\times6}=\frac{2}{3}$
