How many 2/3-cup servings are in 6 cups of cereal?
The Correct Answer and Explanation is :
To find out how many 2/3-cup servings are in 6 cups of cereal, we can use a simple mathematical calculation. We start by dividing the total amount of cereal by the size of one serving.
- Convert the total cups to a fraction:
- We have 6 cups of cereal, which we can express as a fraction: (6 = \frac{6}{1}).
- Determine the serving size:
- Each serving is ( \frac{2}{3} ) cup.
- Perform the division:
- To find out how many servings are in 6 cups, we divide 6 by ( \frac{2}{3} ):
[
\text{Number of servings} = 6 \div \frac{2}{3}
] Dividing by a fraction is the same as multiplying by its reciprocal:
[
6 \div \frac{2}{3} = 6 \times \frac{3}{2}
]
- Calculate:
- First, multiply 6 by 3:
[
6 \times 3 = 18
] - Then, divide by 2:
[
18 \div 2 = 9
]
Therefore, there are 9 servings of 2/3 cup in 6 cups of cereal.
Explanation:
Understanding how to determine serving sizes is crucial in both cooking and nutrition. When a recipe or nutritional guideline specifies serving sizes, it helps individuals manage portion control and maintain a balanced diet. In this case, knowing that 6 cups of cereal equates to 9 servings allows for easy meal planning, especially in households where multiple people may share a common food item.
This calculation also highlights the importance of fractions and their manipulation in everyday life. Being comfortable with fractions enhances our ability to follow recipes, distribute food evenly, and make informed dietary choices. Whether measuring ingredients for a recipe or managing portion sizes for health reasons, a good grasp of these concepts is essential. Thus, dividing 6 cups by a serving size of ( \frac{2}{3} ) provides a practical application of math in a real-world context.