An ice cream shop has 2 large containers of ice cream. Each container contains 12 cups of ice cream. How many 3/4 cup servings of ice cream can be served from the 2 containers? Show/Explain your steps for solving this problem.

1 answer

To find out how many \( \frac{3}{4} \) cup servings of ice cream can be served from the 2 containers, we can follow these steps:

  1. Determine the total amount of ice cream: Each container contains 12 cups of ice cream, and there are 2 containers. \[ \text{Total ice cream} = 2 \text{ containers} \times 12 \text{ cups/container} = 24 \text{ cups} \]

  2. Calculate the number of servings: Each serving of ice cream is \( \frac{3}{4} \) cup. To find out how many \( \frac{3}{4} \) cup servings can be obtained from the total amount of ice cream (24 cups), we can divide the total cups of ice cream by the size of each serving.

    To calculate this, we need to divide: \[ \text{Number of servings} = \frac{\text{Total ice cream}}{\text{Size of each serving}} = \frac{24 \text{ cups}}{\frac{3}{4} \text{ cup}} \]

  3. Dividing by a fraction: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).

    So we rewrite the division: \[ \frac{24}{\frac{3}{4}} = 24 \times \frac{4}{3} \]

  4. Perform the multiplication: We can simplify this calculation: \[ 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32 \]

Therefore, the total number of \( \frac{3}{4} \) cup servings that can be served from the 2 containers of ice cream is 32 servings.