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Current Skill \$ Repfol's mom baked several pies and cut them so that each slice is \( \frac{1}{14} \) of a whole pie. Repfol plans to eat \( 7 \frac{5}{7} \) pies. How many slices will Repfol eat?

Ask by Santiago Patel. in the United States
Jan 23,2025

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Repfol will eat 108 slices.

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To find out how many slices Repfol will eat, we first need to convert the mixed number of pies he plans to eat into an improper fraction. Repfol wants to eat \( 7 \frac{5}{7} \) pies, which can be converted as follows: \[ 7 \frac{5}{7} = \frac{7 \times 7 + 5}{7} = \frac{49 + 5}{7} = \frac{54}{7} \] Each pie is cut into \( \frac{1}{14} \) slices. Therefore, each whole pie consists of 14 slices. To find the total number of slices in \( 7 \frac{5}{7} \) pies, we multiply the number of slices in a whole pie by the total number of pies: \[ \text{Total slices} = \text{Total pies} \times \text{Slices per pie} = \frac{54}{7} \times 14 \] Now, simplifying this calculation: \[ \frac{54 \times 14}{7} = 54 \times 2 = 108 \] Thus, Repfol will eat a total of **108 slices**.

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