A Strip Of Wood 66 Inches Long Is To Be Cut Into $5 \frac{1}{2}$-inch Pieces. How Many Pieces Can Be Cut?A. 30 B. 33 C. 14 D. 12

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Introduction

When it comes to cutting a strip of wood into smaller pieces, it's essential to consider the length of the wood and the size of the pieces you want to cut. In this problem, we have a strip of wood that is 66 inches long, and we want to cut it into pieces that are 5 1/2 inches long. The question is, how many pieces can be cut from this strip of wood?

Understanding the Problem

To solve this problem, we need to understand the concept of division and how it applies to cutting a strip of wood into smaller pieces. Division is a mathematical operation that involves splitting a number into equal parts or groups. In this case, we want to divide the length of the wood (66 inches) by the length of each piece (5 1/2 inches) to find out how many pieces can be cut.

Calculating the Number of Pieces

To calculate the number of pieces, we need to divide the length of the wood (66 inches) by the length of each piece (5 1/2 inches). We can use a calculator or perform the division manually to find the answer.

66 inches ÷ 5 1/2 inches = ?

To perform the division, we need to convert the mixed number (5 1/2) to an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator.

5 1/2 = 11/2

Now, we can perform the division:

66 inches ÷ 11/2 inches = 66 × 2/11 = 12

Therefore, we can cut 12 pieces from the strip of wood that is 66 inches long.

Conclusion

In conclusion, to solve this problem, we need to understand the concept of division and how it applies to cutting a strip of wood into smaller pieces. By dividing the length of the wood (66 inches) by the length of each piece (5 1/2 inches), we can find out how many pieces can be cut. In this case, we can cut 12 pieces from the strip of wood that is 66 inches long.

Frequently Asked Questions

  • What is the length of the wood?
  • The length of the wood is 66 inches.
  • What is the length of each piece?
  • The length of each piece is 5 1/2 inches.
  • How many pieces can be cut from the strip of wood?
  • We can cut 12 pieces from the strip of wood that is 66 inches long.

Step-by-Step Solution

  1. Convert the mixed number (5 1/2) to an improper fraction: 5 1/2 = 11/2
  2. Perform the division: 66 inches ÷ 11/2 inches = 66 × 2/11 = 12
  3. The answer is 12.

Real-World Applications

This problem has real-world applications in various fields, such as:

  • Carpentry: When cutting a strip of wood into smaller pieces, it's essential to consider the length of the wood and the size of the pieces you want to cut.
  • Furniture Making: When making furniture, it's crucial to calculate the number of pieces that can be cut from a strip of wood to ensure that the furniture is made to the correct specifications.
  • Woodworking: When working with wood, it's essential to understand the concept of division and how it applies to cutting a strip of wood into smaller pieces.

Tips and Tricks

  • When cutting a strip of wood into smaller pieces, it's essential to consider the length of the wood and the size of the pieces you want to cut.
  • Use a calculator or perform the division manually to find the answer.
  • Convert the mixed number to an improper fraction before performing the division.
  • Understand the concept of division and how it applies to cutting a strip of wood into smaller pieces.

Conclusion

In conclusion, to solve this problem, we need to understand the concept of division and how it applies to cutting a strip of wood into smaller pieces. By dividing the length of the wood (66 inches) by the length of each piece (5 1/2 inches), we can find out how many pieces can be cut. In this case, we can cut 12 pieces from the strip of wood that is 66 inches long.

Introduction

In our previous article, we discussed how to calculate the number of pieces that can be cut from a strip of wood that is 66 inches long, given that each piece is 5 1/2 inches long. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the length of the wood?

A: The length of the wood is 66 inches.

Q: What is the length of each piece?

A: The length of each piece is 5 1/2 inches.

Q: How many pieces can be cut from the strip of wood?

A: We can cut 12 pieces from the strip of wood that is 66 inches long.

Q: What if the wood is not perfectly straight?

A: If the wood is not perfectly straight, it may be difficult to cut the pieces to the exact length. However, you can still use the same calculation to estimate the number of pieces that can be cut.

Q: What if the pieces are not all the same length?

A: If the pieces are not all the same length, you will need to recalculate the number of pieces that can be cut. You can do this by dividing the length of the wood by the average length of the pieces.

Q: Can I use a calculator to solve this problem?

A: Yes, you can use a calculator to solve this problem. Simply enter the length of the wood and the length of each piece, and the calculator will give you the number of pieces that can be cut.

Q: What if I want to cut the wood into pieces that are 6 inches long?

A: If you want to cut the wood into pieces that are 6 inches long, you will need to recalculate the number of pieces that can be cut. You can do this by dividing the length of the wood by the length of each piece.

Q: Can I use a formula to solve this problem?

A: Yes, you can use a formula to solve this problem. The formula is:

Number of pieces = Length of wood ÷ Length of each piece

Q: What if I want to cut the wood into pieces that are 1/2 inch long?

A: If you want to cut the wood into pieces that are 1/2 inch long, you will need to recalculate the number of pieces that can be cut. You can do this by dividing the length of the wood by the length of each piece.

Q: Can I use a calculator to convert the mixed number to an improper fraction?

A: Yes, you can use a calculator to convert the mixed number to an improper fraction. Simply enter the mixed number and the calculator will give you the improper fraction.

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of cutting a strip of wood into smaller pieces. We hope that this article has been helpful in understanding the concept of division and how it applies to cutting a strip of wood into smaller pieces.

Tips and Tricks

  • When cutting a strip of wood into smaller pieces, it's essential to consider the length of the wood and the size of the pieces you want to cut.
  • Use a calculator or perform the division manually to find the answer.
  • Convert the mixed number to an improper fraction before performing the division.
  • Understand the concept of division and how it applies to cutting a strip of wood into smaller pieces.

Real-World Applications

This problem has real-world applications in various fields, such as:

  • Carpentry: When cutting a strip of wood into smaller pieces, it's essential to consider the length of the wood and the size of the pieces you want to cut.
  • Furniture Making: When making furniture, it's crucial to calculate the number of pieces that can be cut from a strip of wood to ensure that the furniture is made to the correct specifications.
  • Woodworking: When working with wood, it's essential to understand the concept of division and how it applies to cutting a strip of wood into smaller pieces.

Further Reading

If you want to learn more about division and how it applies to cutting a strip of wood into smaller pieces, we recommend the following resources:

  • "Division: A Guide to Cutting a Strip of Wood into Smaller Pieces"
  • "Carpentry: A Guide to Cutting Wood into Smaller Pieces"
  • "Furniture Making: A Guide to Calculating the Number of Pieces that Can Be Cut from a Strip of Wood"

We hope that this article has been helpful in understanding the concept of division and how it applies to cutting a strip of wood into smaller pieces.