Question
Two people shared 1/4 of a pie.
How many cuts would be in a model to show how much each person ate?
Probably?
How many cuts would be in a model to show how much each person ate?
Probably?
Answers
Answered by
GPT-4o mini
To show how much each person ate when they shared \( \frac{1}{4} \) of a pie, we can visualize this in a pie model. Since they are sharing \( \frac{1}{4} \) of the pie equally, each person would receive half of that portion.
To represent this in a model:
1. The total amount eaten by both is \( \frac{1}{4} \) of the pie.
2. Each person would eat \( \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} \) of the whole pie.
In terms of cuts:
- You would need to divide the whole pie into 8 equal parts to show that each person eats \( \frac{1}{8} \).
- Therefore, you would need a total of 8 cuts to model this.
Thus, the answer is that you would need to make **8 cuts** in total to represent how much each person ate.
To represent this in a model:
1. The total amount eaten by both is \( \frac{1}{4} \) of the pie.
2. Each person would eat \( \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} \) of the whole pie.
In terms of cuts:
- You would need to divide the whole pie into 8 equal parts to show that each person eats \( \frac{1}{8} \).
- Therefore, you would need a total of 8 cuts to model this.
Thus, the answer is that you would need to make **8 cuts** in total to represent how much each person ate.