Final answer:
To multiply −3 by (2/3)⋅(−2 1/4), first convert -2 1/4 to an improper fraction. Then, multiply -3 by the product of (2/3) and the improper fraction to get the result.
Step-by-step explanation:
To multiply −3 by (2/3)⋅(−2 1/4), we need to convert -2 1/4 to an improper fraction. -2 1/4 is equal to -9/4. Now, we can multiply -3 by (2/3)⋅(-9/4). First, multiply 2/3 by -9/4, which gives -18/12. Then, multiply -3 by -18/12, which results in 54/12 or 4 1/2. Therefore, the answer is 4 1/2.