To multiply \( \frac{4}{5} \) by \( -9 \), you can treat \( -9 \) as a fraction: \( -9 = \frac{-9}{1} \).
Now, multiply the fractions: \[ \frac{4}{5} \times \frac{-9}{1} = \frac{4 \times -9}{5 \times 1} = \frac{-36}{5} \]
Thus, the result is \( \frac{-36}{5} \).
This can also be expressed as a mixed number: \[ -7 \frac{1}{5} \]
None of the provided options match \( \frac{-36}{5} \) or \( -7 \frac{1}{5} \). However, if you're looking for a decimal representation, \( \frac{-36}{5} = -7.2 \).
Make sure to confirm if additional options are available or if the question is asking for a specific representation.