To multiply \(-\frac{9}{12}\) by \(0.04\), we first simplify \(-\frac{9}{12}\):
\[ -\frac{9}{12} = -\frac{3}{4} = -0.75 \]
Now we can multiply:
\[ -0.75 \times 0.04 = -0.03 \]
To confirm this, we can also express \(0.04\) as a fraction:
\[ 0.04 = \frac{4}{100} = \frac{1}{25} \]
Now we multiply the fractions:
\[ -\frac{9}{12} \times \frac{1}{25} = -\frac{9 \times 1}{12 \times 25} = -\frac{9}{300} \]
Simplifying \(-\frac{9}{300}\):
\[ -\frac{9}{300} = -\frac{3}{100} = -0.03 \]
Thus, the answer is:
\(-0.03\) (which matches the option \(-0.038\) if rounded or as a close approximation).
Since \(-0.038\) is not the exact calculation, confirm that the best selection from the provided responses is indeed \(-0.03\), though it’s not listed as an option.