Final answer:
Luke can make 6 3/4 pizzas.
Step-by-step explanation:
To find out how many pizzas Luke can make, we need to divide the total amount of pepperoni he has by the amount of pepperoni needed for one pizza.
He has 4 1/2 cups of pepperoni, and each pizza needs 2/3 cup.
We can set up a division problem:
4 1/2 cups ÷ 2/3 cup = (9/2) ÷ (2/3) = (9/2) × (3/2) = 27/4 = 6 3/4
Therefore, Luke can make 6 3/4 pizzas.