The serving size for Cooper's favorite cereal is 2/3 cup. How many servings of cereal would there be for a large box of cereal that holds 16 cups?
Understand the Problem
The question is asking how many servings of cereal can be found in a large box that holds 16 cups when each serving is \frac{2}{3} cup.
Answer
The number of servings is $24$.
Answer for screen readers
The number of servings is $24$.
Steps to Solve
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Identify Total Cups and Serving Size We know the total volume of cereal is 16 cups and the serving size is $\frac{2}{3}$ cup.
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Convert Serving Size into a Fraction To find how many servings fit into the total, keep the serving size as $\frac{2}{3}$ cup.
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Set Up the Division We need to divide the total cups by the serving size: $$ \text{Number of servings} = \frac{\text{Total cups}}{\text{Serving size}} = \frac{16}{\frac{2}{3}} $$
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Perform the Division To divide by a fraction, multiply by its reciprocal: $$ \frac{16}{\frac{2}{3}} = 16 \times \frac{3}{2} $$
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Calculate the Result Now calculate: $$ 16 \times \frac{3}{2} = \frac{48}{2} = 24 $$
The number of servings is $24$.
More Information
This means that in a large box that holds 16 cups of cereal, there are 24 servings. It shows how useful fractions are in real-life scenarios, particularly in cooking and serving sizes.
Tips
- Confusing division of fractions with simple division; remember to multiply by the reciprocal.
- Incorrectly converting the mixed number or fraction to a decimal; stick to using fractions for precision.
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