To find out how many pizzas Carlos can make, we need to divide the total amount of flour he has by the amount of flour needed for each pizza.
Carlos has 4.5 pounds of flour and needs \( \frac{3}{4} \) pounds of flour for each pizza. We can set up the division as follows:
\[ \text{Number of pizzas} = \frac{\text{Total flour}}{\text{Flour per pizza}} = \frac{4.5}{\frac{3}{4}} \]
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{4.5}{\frac{3}{4}} = 4.5 \times \frac{4}{3} \]
Now, let's calculate \( 4.5 \times \frac{4}{3} \):
First, convert 4.5 to a fraction: \[ 4.5 = \frac{9}{2} \]
Now multiply: \[ \frac{9}{2} \times \frac{4}{3} = \frac{9 \times 4}{2 \times 3} = \frac{36}{6} = 6 \]
Carlos can make 6 pizzas.