Answer:
45/8 or 5 5/8
Explanation:
When multiplying fractions, it ALWAYS so much easier to make them into improper fractions (for me at least). When doing this, multiply the denominator to the whole number and add the numerator and keep the denominator the same. So, for 2 1/4, you could use the equation 2(4) + 1 = x/4. You should get 9/4. Doing this for the other mixed fraction, you get 5/2.
Multiplying fractions is pretty straightforward after that. You don't have to change the denominators to match each other like you do when adding, instead you just multiply straight across. Multiply both of the numerators and then the denominators.
Numerators: 9 x 5 = 45
Denominators: 4 x 2 = 8
So, you get 45/8. If you're wanting a mixed number fraction, just divide 45 by 8. 8 goes into 40 5 times, and you get a left over number 5. Therefore, as a mixed fraction you get 5 5/8.
I don't know how you wanted me to show my work, but I tried the best I could to explain.