To multiply \( \frac{4}{9} \) by \(-3\), you can treat \(-3\) as \(-\frac{3}{1}\):
\[ \frac{4}{9} \times -\frac{3}{1} = \frac{4 \times -3}{9 \times 1} = \frac{-12}{9} \]
Now, you can simplify \(\frac{-12}{9}\):
\[ \frac{-12}{9} = \frac{-4}{3} \]
So, \( \frac{4}{9} \times -3 = -\frac{4}{3} \).