Did I do this problem right? Find the following product: ( 1 1/3 + 3 1/2 )(3/4)=? My answer is: ( 4/3 + 7/2)(3/4)= 1 + 21/8= 29/8. Is this correct? Thanks.

Correct.

To determine if you did the problem correctly, we will break it down step by step.

Step 1: Simplify the mixed numbers:
1 1/3 is equivalent to 4/3
3 1/2 is equivalent to 7/2.

This gives us:

(4/3 + 7/2)(3/4)

Step 2: Find a common denominator for the fractions.
The denominators are 3 and 2. Since they have no common factors other than 1, we can simply multiply them to find the common denominator, which is 3 * 2 = 6.

(4/3 + 7/2)(3/4) = (8/6 + 21/6)(3/4)

Step 3: Add the fractions with the same denominator.
8/6 + 21/6 = (8 + 21)/6 = 29/6

(29/6)(3/4)

Step 4: Multiply the numerators and denominators.
29/6 * 3/4 = (29 * 3) / (6 * 4) = 87/24

So, the correct answer is 87/24, not 29/8.

Therefore, your initial answer (29/8) is incorrect. The correct answer is 87/24.