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Question
jasons great grandma zelda makes the best apple pie. somehow, she always brings too much when she comes for the holidays. this year, theres a whole pie left over! jason cuts the leftover pie into 2 equal pieces. then, he offers the pieces to his aunt and uncle as they leave for home. jason gives 1 piece to aunt kathys family. which model represents the fraction of the pie jason gives to aunt kathys family?
Step1: Analyze the problem
We need to find the fraction of the pie Jason gives to Aunt Kathy's family. The whole pie is cut into 2 equal pieces first, and then one of those pieces is given. So we are dealing with fraction concepts.
Step2: Determine the fraction
When the pie is cut into 2 equal pieces, each piece is \(\frac{1}{2}\) of the pie. But wait, no - wait the second - level operation: the pie is cut into 2 equal pieces (so each is \(\frac{1}{2}\)), and then from those 2 pieces, 1 piece is given. But if we consider the second - stage where the \(\frac{1}{2}\) piece (the leftover) is cut into, say, if we assume the original problem's correct model:
The pie is cut into 4 equal parts (the second model). Because when we talk about giving 1 piece out of a set of equal - sized pieces. If the pie is divided into 4 equal parts (a common way to represent halves of halves in visual fraction models), and 1 part is given.
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The second model (the circle divided into 4 equal parts with 1 part colored) represents the fraction of the pie Jason gives to Aunt Kathy's family.