Final answer:
Chloe can have 6 full servings of ice cream when one full serving is 2/3 of a cup, and she has 4 1/2 cups in total.
Step-by-step explanation:
To determine how many full servings of ice cream Chloe has, we need to divide the total amount of ice cream she has by the amount in one full serving. Chloe has a total of 4 1/2 cups of ice cream, and one full serving is 2/3 of a cup.
Firstly, we convert 4 1/2 cups to an improper fraction: $4 \times 2 + 1 = 8 + 1 = 9$, so 4 1/2 cups is the same as $\frac{9}{2}$ cups.
Next, we divide $\frac{9}{2}$ cups by $\frac{2}{3}$ cups per serving:
$\frac{9}{2} \div \frac{2}{3} = \frac{9}{2} \times \frac{3}{2} = \frac{9 \times 3}{2 \times 2} = \frac{27}{4} = 6 \frac{3}{4}$
Since Chloe cannot have a fraction of a serving, she can only have 6 full servings of ice cream, with a little left over.