11. 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?

Phil started with 8 pieces of each pie. When he served \( \frac{1}{2} \) of the blueberry pie, that means he served \( \frac{1}{2} \times 8 = 4 \) pieces of blueberry pie. For the apple pie, he served \( \frac{1}{4} \) of it, which is \( \frac{1}{4} \times 8 = 2 \) pieces. To express the pieces of the apple pie served in eighths, we convert it: \( 2 \) pieces is equivalent to \( \frac{2}{8} \) in eighths. Therefore, he served \( \frac{2}{8} \) of the apple pie. Now, calculate the difference in the number of pieces served: 4 pieces (blueberry) - 2 pieces (apple) = 2 pieces. Thus, he served 2 more pieces of the blueberry pie than the apple pie.