Math Problem Statement

Carlos has 4.5 pounds of flour. He needs 3/4 pound of flour to make a pizza. What is the greatest number of pizzas Carlos can make?

Solution

To solve this problem, we need to calculate how many pizzas Carlos can make using the 4.5 pounds of flour he has, where each pizza requires 34\frac{3}{4} pound of flour.

To do this, we divide the total flour Carlos has by the amount needed for one pizza:

4.534=4.5×43\frac{4.5}{\frac{3}{4}} = 4.5 \times \frac{4}{3}

Now, let's compute the result:

4.5×43=183=64.5 \times \frac{4}{3} = \frac{18}{3} = 6

So, Carlos can make 6 pizzas.

It appears the correct answer should be "Carlos can make 6 pizzas," but the image highlights the incorrect option "Carlos can make 3 pizzas."

Would you like further clarification or details? Here are some related questions:

  1. How do you simplify complex fractions like 4.534\frac{4.5}{\frac{3}{4}}?
  2. How do you calculate the total number of items given a total and per-item amount?
  3. What are the steps to convert a mixed number to an improper fraction?
  4. How does multiplying by the reciprocal help in division problems?
  5. How can you estimate the answer before calculating the exact result?

Tip: When dividing by a fraction, remember to multiply by its reciprocal.

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Math Problem Analysis

Mathematical Concepts

Division
Fractions
Multiplication by Reciprocals

Formulas

Total pizzas = Total flour ÷ Flour per pizza
Total pizzas = 4.5 ÷ 3/4 = 4.5 × 4/3

Theorems

Reciprocal Multiplication in Division

Suitable Grade Level

Grades 5-7