Find, As A Fraction In Simplest Form, The Ratio Of The Number Of Board Feet Of Pine To The Number Of Board Feet Of Oak.$\[ \begin{array}{|cccc|} \hline \multicolumn{4}{|c|}{\text{Board Feet Of Wood At A Lumber Store}} \\ \hline \text{Pine} &
Introduction
In this article, we will explore the concept of finding the ratio of the number of board feet of pine to the number of board feet of oak. This problem involves understanding the concept of ratios and proportions, as well as the ability to simplify fractions. We will use a table to represent the number of board feet of pine and oak at a lumber store, and then find the ratio of the number of board feet of pine to the number of board feet of oak.
Understanding the Problem
To find the ratio of the number of board feet of pine to the number of board feet of oak, we need to understand the concept of ratios and proportions. A ratio is a comparison of two numbers, and it is often represented as a fraction. In this case, we want to find the ratio of the number of board feet of pine to the number of board feet of oak.
The Table
The table below represents the number of board feet of pine and oak at a lumber store.
| Pine | Oak |
|---|---|
| 240 | 320 |
| 300 | 400 |
| 420 | 560 |
| 480 | 640 |
Finding the Ratio
To find the ratio of the number of board feet of pine to the number of board feet of oak, we need to add up the number of board feet of pine and oak in each row, and then divide the number of board feet of pine by the number of board feet of oak.
Let's start by adding up the number of board feet of pine and oak in each row.
| Pine | Oak | Pine + Oak |
|---|---|---|
| 240 | 320 | 560 |
| 300 | 400 | 700 |
| 420 | 560 | 980 |
| 480 | 640 | 1120 |
Calculating the Ratio
Now that we have the total number of board feet of pine and oak in each row, we can calculate the ratio of the number of board feet of pine to the number of board feet of oak.
To do this, we will divide the number of board feet of pine by the number of board feet of oak in each row.
| Pine | Oak | Pine + Oak | Ratio |
|---|---|---|---|
| 240 | 320 | 560 | 240/320 = 0.75 |
| 300 | 400 | 700 | 300/400 = 0.75 |
| 420 | 560 | 980 | 420/560 = 0.75 |
| 480 | 640 | 1120 | 480/640 = 0.75 |
Simplifying the Fraction
The ratio of the number of board feet of pine to the number of board feet of oak is 0.75. However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 0.25.
0.75 = 3/4
Therefore, the ratio of the number of board feet of pine to the number of board feet of oak is 3/4.
Conclusion
In this article, we found the ratio of the number of board feet of pine to the number of board feet of oak. We used a table to represent the number of board feet of pine and oak at a lumber store, and then calculated the ratio by dividing the number of board feet of pine by the number of board feet of oak. We simplified the fraction by dividing both the numerator and the denominator by their greatest common divisor, and found that the ratio of the number of board feet of pine to the number of board feet of oak is 3/4.
Final Answer
The final answer is .
Introduction
In our previous article, we explored the concept of finding the ratio of the number of board feet of pine to the number of board feet of oak. We used a table to represent the number of board feet of pine and oak at a lumber store, and then calculated the ratio by dividing the number of board feet of pine by the number of board feet of oak. In this article, we will answer some frequently asked questions about the problem.
Q&A
Q: What is the ratio of the number of board feet of pine to the number of board feet of oak?
A: The ratio of the number of board feet of pine to the number of board feet of oak is 3/4.
Q: How did you calculate the ratio?
A: We calculated the ratio by dividing the number of board feet of pine by the number of board feet of oak in each row of the table.
Q: What is the greatest common divisor of the numerator and the denominator of the ratio?
A: The greatest common divisor of the numerator and the denominator of the ratio is 0.25.
Q: Why did you simplify the fraction?
A: We simplified the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 0.25.
Q: What is the significance of the ratio?
A: The ratio of the number of board feet of pine to the number of board feet of oak is significant because it helps us understand the proportion of pine to oak in the lumber store.
Q: Can you explain the concept of ratios and proportions?
A: Yes, a ratio is a comparison of two numbers, and it is often represented as a fraction. A proportion is a statement that two ratios are equal. In this case, we used the concept of ratios and proportions to find the ratio of the number of board feet of pine to the number of board feet of oak.
Q: How can you apply this concept to real-life situations?
A: This concept can be applied to real-life situations where you need to compare two quantities. For example, you can use this concept to compare the number of apples to the number of bananas in a fruit basket.
Conclusion
In this article, we answered some frequently asked questions about the problem of finding the ratio of the number of board feet of pine to the number of board feet of oak. We explained the concept of ratios and proportions, and how to apply this concept to real-life situations.
Final Answer
The final answer is .
Additional Resources
Related Articles
- Finding the Ratio of the Number of Board Feet of Pine to the Number of Board Feet of Oak
- Understanding the Concept of Ratios and Proportions
Tags
- Ratios and Proportions
- Board Feet of Pine and Oak
- Lumber Store
- Simplifying Fractions
- Greatest Common Divisor