ANSWER
[tex]-4\frac{9}{100}[/tex]EXPLANATION
We want to write -4.09 as a mixed number.
To do this, we want to express it as a mixture of a whole number and a fraction.
Therefore, we have:
[tex]\begin{gathered} -4.09\Rightarrow\frac{-409}{100} \\ -4.09\Rightarrow\frac{-400-9}{100}=\frac{-400}{100}+\frac{-9}{100} \\ -4.09\Rightarrow-4+\frac{-9}{100} \\ \Rightarrow-4\frac{9}{100} \end{gathered}[/tex]That is the answer.