https://file.aiquickdraw.com/mathbot/file/1728984397030vw13uc3u.jpg

To solve the problem in the image, we need to calculate how many pounds of cheese the school cafeteria uses for \( 3 \frac{1}{2} \) large pizzas, given that each large pizza uses \( 2 \frac{1}{3} \) pounds of cheese.

### Step 1: Convert mixed numbers to improper fractions
- \( 2 \frac{1}{3} \) can be written as \( \frac{7}{3} \).
- \( 3 \frac{1}{2} \) can be written as \( \frac{7}{2} \).

### Step 2: Multiply the amount of cheese per pizza by the number of pizzas
We now multiply \( \frac{7}{3} \) (cheese per pizza) by \( \frac{7}{2} \) (number of pizzas):

\[
\frac{7}{3} \times \frac{7}{2} = \frac{49}{6}
\]

### Step 3: Convert the improper fraction to a mixed number
\[
\frac{49}{6} = 8 \frac{1}{6}
\]

Thus, the school cafeteria will use \( 8 \frac{1}{6} \) pounds of cheese to make \( 3 \frac{1}{2} \) large pizzas.

Would you like any more details or explanations?

### Related Questions:
1. How would the total cheese amount change if the cafeteria made 5 pizzas?
2. How would you multiply two improper fractions in general?
3. Can you express \( 8 \frac{1}{6} \) as a decimal?
4. How much cheese would be needed if each pizza required \( 3 \frac{1}{2} \) pounds of cheese?
5. How would the solution change if they made \( 4 \frac{1}{4} \) pizzas instead of \( 3 \frac{1}{2} \)?

### Tip:
When dealing with mixed numbers, converting them to improper fractions first makes multiplication easier!

The school cafeteria uses 2 1/3 pounds of cheese for each large pizza. If they make 3 1/2 large pizzas for lunch, how many pounds of cheese do they use?

Find out how to calculate the total pounds of cheese needed for 3 1/2 large pizzas when each pizza uses 2 1/3 pounds of cheese. This math problem demonstrates converting mixed numbers to improper fractions and multiplying them, suitable for Grades 6-8.

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