Basic College Mathematics (10th Edition)

$\frac{5}{9} \cdot \frac{4}{3} = \frac{20}{27}$.
There is no common factor to simplify the fraction. $\frac{5}{9} \cdot \frac{4}{3} = \frac{5 \cdot 4}{9 \cdot 3} = \frac{20}{27}$.