3 2/3 * 1 1/2

To multiply these two mixed numbers, we first need to convert them to improper fractions and then multiply.

3 2/3 = 3 + 2/3 = 3 + 2*(1/3) = 3 + 2/3 = 9/3 + 2/3 = 11/3

1 1/2 = 1 + 1/2 = 1 + 1*(1/2) = 1 + 1/2 = 2/2 + 1/2 = 3/2

Now, multiply the two improper fractions:

(11/3) * (3/2)
= (11*3) / (3*2)
= 33 / 6
= 5 1/2

Therefore, 3 2/3 * 1 1/2 = 5 1/2.