The Table Shows The Distances That Leah And Lee Hiked Last Weekend.$\[ \begin{tabular}{|c|c|} \hline Day & Distance (Miles) \\ \hline Saturday & 7 \\ \hline Sunday & $5 \frac{3}{3}$ \\ \hline \end{tabular} \\]How Much Farther Did Leah And
Introduction
In this article, we will explore the distances that Leah and Lee hiked last weekend. The table provided shows the distances covered by each of them on Saturday and Sunday. We will analyze the data and calculate how much farther Leah and Lee hiked compared to each other.
The Table of Distances
Day | Distance (Miles) |
---|---|
Saturday | 7 |
Sunday | 5 3/3 |
Understanding the Data
Before we proceed with the calculations, let's understand the data presented in the table. The table shows the distances covered by Leah and Lee on Saturday and Sunday. The distance covered on Saturday is 7 miles, while the distance covered on Sunday is 5 3/3 miles.
Converting Mixed Numbers to Decimal Form
To make the calculations easier, we need to convert the mixed number 5 3/3 to decimal form. To do this, we need to divide the numerator (3) by the denominator (3).
# Import necessary modules
import math
# Define variables
numerator = 3
denominator = 3
# Calculate the decimal form
decimal_form = numerator / denominator
print(decimal_form)
The decimal form of 5 3/3 is 5.0. Therefore, the distance covered on Sunday is 5.0 miles.
Calculating the Total Distance
Now that we have the decimal form of the distance covered on Sunday, we can calculate the total distance covered by Leah and Lee.
# Define variables
saturday_distance = 7
sunday_distance = 5.0
# Calculate the total distance
total_distance = saturday_distance + sunday_distance
print(total_distance)
The total distance covered by Leah and Lee is 12.0 miles.
Comparing the Distances
Now that we have the total distance covered by Leah and Lee, we can compare the distances covered by each of them.
# Define variables
leah_distance = 7
lee_distance = 5.0
# Calculate the difference in distance
difference_in_distance = leah_distance - lee_distance
print(difference_in_distance)
The difference in distance covered by Leah and Lee is 2.0 miles. Therefore, Leah hiked 2.0 miles farther than Lee.
Conclusion
In this article, we analyzed the distances covered by Leah and Lee on Saturday and Sunday. We converted the mixed number 5 3/3 to decimal form and calculated the total distance covered by both of them. We also compared the distances covered by each of them and found that Leah hiked 2.0 miles farther than Lee.
References
- [1] Python Documentation. (n.d.). Retrieved from https://docs.python.org/3/
Future Work
In the future, we can explore more complex calculations involving distances and times. We can also analyze the data to determine the average speed of Leah and Lee.
Code
# Import necessary modules
import math
# Define variables
numerator = 3
denominator = 3
saturday_distance = 7
sunday_distance = 5.0
leah_distance = 7
lee_distance = 5.0
# Calculate the decimal form
decimal_form = numerator / denominator
# Calculate the total distance
total_distance = saturday_distance + sunday_distance
# Calculate the difference in distance
difference_in_distance = leah_distance - lee_distance
print("The decimal form of 5 3/3 is:", decimal_form)
print("The total distance covered by Leah and Lee is:", total_distance)
print("The difference in distance covered by Leah and Lee is:", difference_in_distance)
```<br/>
**Frequently Asked Questions: Leah and Lee's Hiking Adventure**
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**Q: What is the distance covered by Leah on Saturday?**
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A: According to the table, Leah covered a distance of 7 miles on Saturday.
**Q: What is the distance covered by Lee on Sunday?**
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A: According to the table, Lee covered a distance of 5 3/3 miles on Sunday. However, we converted this mixed number to decimal form, which is 5.0 miles.
**Q: How much farther did Leah hike compared to Lee?**
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A: To find out how much farther Leah hiked compared to Lee, we need to calculate the difference in distance covered by both of them. The difference in distance is 2.0 miles, which means Leah hiked 2.0 miles farther than Lee.
**Q: What is the total distance covered by Leah and Lee?**
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A: To find out the total distance covered by Leah and Lee, we need to add the distances covered by both of them on Saturday and Sunday. The total distance is 12.0 miles.
**Q: How did you convert the mixed number 5 3/3 to decimal form?**
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A: To convert the mixed number 5 3/3 to decimal form, we need to divide the numerator (3) by the denominator (3). This gives us a decimal form of 5.0.
**Q: What programming language did you use to calculate the distances?**
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A: We used Python to calculate the distances covered by Leah and Lee.
**Q: Can you provide the code used to calculate the distances?**
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A: Yes, here is the code used to calculate the distances:
```python
# Import necessary modules
import math
# Define variables
numerator = 3
denominator = 3
saturday_distance = 7
sunday_distance = 5.0
leah_distance = 7
lee_distance = 5.0
# Calculate the decimal form
decimal_form = numerator / denominator
# Calculate the total distance
total_distance = saturday_distance + sunday_distance
# Calculate the difference in distance
difference_in_distance = leah_distance - lee_distance
print("The decimal form of 5 3/3 is:", decimal_form)
print("The total distance covered by Leah and Lee is:", total_distance)
print("The difference in distance covered by Leah and Lee is:", difference_in_distance)
Q: Can you explain the calculations in more detail?
A: Yes, here is a step-by-step explanation of the calculations:
- We first need to convert the mixed number 5 3/3 to decimal form. To do this, we divide the numerator (3) by the denominator (3).
- Next, we calculate the total distance covered by Leah and Lee by adding the distances covered by both of them on Saturday and Sunday.
- Finally, we calculate the difference in distance covered by Leah and Lee by subtracting the distance covered by Lee from the distance covered by Leah.
Q: What are the implications of these calculations?
A: The implications of these calculations are that Leah hiked 2.0 miles farther than Lee, and the total distance covered by both of them is 12.0 miles.