Miranda brought 24 cookies to share with her class. [tex]$\frac{2}{3}$[/tex] of the cookies are chocolate chip. How many are chocolate chip?
A. 16
B. 20
C. 12
D. 18
Answer (2)
We need to find 3 2 of 24.
Multiply 24 by 3 2 : 24 × 3 2 = 3 48 .
Simplify the fraction: 3 48 = 16 .
Therefore, the number of chocolate chip cookies is 16 .
Explanation
Understanding the problem We are given that Miranda brought 24 cookies to share with her class, and 3 2 of the cookies are chocolate chip. We want to find out how many of the cookies are chocolate chip. To do this, we need to calculate 3 2 of 24.
Setting up the calculation To find 3 2 of 24, we multiply 24 by 3 2 . This can be written as: 24 × 3 2 We can think of this as 1 24 × 3 2 .
Performing the calculation Now, we perform the multiplication: 1 24 × 3 2 = 1 × 3 24 × 2 = 3 48 To simplify the fraction, we divide 48 by 3: 3 48 = 16
Final Answer Therefore, there are 16 chocolate chip cookies.
Examples
Fractions are used in everyday life, such as when baking. For example, if a recipe calls for 3 2 cup of flour and you are making half of the recipe, you need to calculate 2 1 of 3 2 to determine how much flour you need. This is similar to the problem we just solved, where we found 3 2 of 24.
Miranda has 16 chocolate chip cookies. We found this by calculating 3 2 of 24, which equals 16. Therefore, the correct option is A. 16.
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