Question

. higher order thinking phil baked two kinds of pies. each pie pan was the same size. he served $\frac{1}{2}$ of the blueberry pie. he served $\frac{1}{4}$ of the apple pie. if each pie had 8 pieces to start, what fraction in eighths of the apple pie did he serve? how many more pieces of the blueberry pie than the apple pie did he serve?

Explanation:

Step1: Find the fraction of apple pie in eighths

We know the fraction of apple pie served is $\frac{1}{4}$. To convert this to eighths, we multiply the numerator and denominator by 2 (since $4\times2 = 8$). So, $\frac{1\times2}{4\times2}=\frac{2}{8}$.

Step2: Calculate pieces of apple pie served

Each pie has 8 pieces. The fraction of apple pie served is $\frac{1}{4}$, so the number of apple pie pieces served is $8\times\frac{1}{4}=2$.

Step3: Calculate pieces of blueberry pie served

The fraction of blueberry pie served is $\frac{1}{2}$, so the number of blueberry pie pieces served is $8\times\frac{1}{2}=4$.

Step4: Find the difference in pieces

Subtract the number of apple pie pieces served from the number of blueberry pie pieces served: $4 - 2 = 2$.

Answer:

• The fraction of the apple pie served in eighths is $\frac{2}{8}$.
• The number of apple pie pieces served is 2.
• Phil served 2 more pieces of blueberry pie than apple pie.