Question
How can Samantha's mom cut 2 peaches into 1/6 slices? Provide two different solutions.
Answers
GPT-4o mini
To cut 2 peaches into 1/6 slices, Samantha's mom can use two different methods. Here are the solutions:
### Solution 1: Traditional Cutting
1. **Cut Each Peach in Half**: First, she can cut each peach into 2 equal halves. This will give her 4 half-peach pieces.
2. **Cut Each Half into Thirds**: Next, she can take each half-peach and cut it into 3 equal slices. Since there are 4 half-peach pieces, this will result in a total of \(4 \times 3 = 12\) slices.
3. **Final Slices**: Each of these 12 slices will be 1/6 of a peach since each whole peach is divided into 6 slices (2 peaches give a total of 12 slices).
### Solution 2: Direct Cutting by Size
1. **Cut Each Peach into Sixth Slices**: Instead of cutting the peaches in half first, she can directly cut each whole peach into 6 equal slices.
2. **Resulting Slices**: Since she has 2 peaches and each is cut into 6 slices, she will have a total of \(2 \times 6 = 12\) slices.
3. **Final Slices**: Each of these slices will again be 1/6 of a peach.
Both methods achieve the goal of cutting 2 peaches into 1/6 slices, resulting in a total of 12 slices.
### Solution 1: Traditional Cutting
1. **Cut Each Peach in Half**: First, she can cut each peach into 2 equal halves. This will give her 4 half-peach pieces.
2. **Cut Each Half into Thirds**: Next, she can take each half-peach and cut it into 3 equal slices. Since there are 4 half-peach pieces, this will result in a total of \(4 \times 3 = 12\) slices.
3. **Final Slices**: Each of these 12 slices will be 1/6 of a peach since each whole peach is divided into 6 slices (2 peaches give a total of 12 slices).
### Solution 2: Direct Cutting by Size
1. **Cut Each Peach into Sixth Slices**: Instead of cutting the peaches in half first, she can directly cut each whole peach into 6 equal slices.
2. **Resulting Slices**: Since she has 2 peaches and each is cut into 6 slices, she will have a total of \(2 \times 6 = 12\) slices.
3. **Final Slices**: Each of these slices will again be 1/6 of a peach.
Both methods achieve the goal of cutting 2 peaches into 1/6 slices, resulting in a total of 12 slices.