How many pieces of wood each 7 1/2 inches long can be cut from a board that is 45 inches long?

To determine how many pieces of wood, each measuring 7 1/2 inches long, can be cut from a board that is 45 inches long, we can follow these steps:

### Step 1: Convert the Lengths to Improper Fractions or Decimals
- The length of each piece is \( 7 \frac{1}{2} \) inches. In decimal form, this is:
  \[
  7 \frac{1}{2} = 7 + \frac{1}{2} = 7.5 \text{ inches}
  \]

- The total length of the board is 45 inches.

### Step 2: Divide the Total Length by the Length of Each Piece
To find how many 7.5-inch pieces can be cut from a 45-inch board, divide 45 by 7.5:
\[
\frac{45}{7.5} = 6
\]

### Final Answer:
Don can cut **6 pieces** of wood, each 7 1/2 inches long, from the 45-inch board.

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Would you like more explanation on any step or have further questions?

Here are some related questions:
1. How can you convert mixed numbers to decimals quickly?
2. What if the board had a different length—how would you adjust the calculation?
3. How do you handle leftovers when cutting materials?
4. What if the wood pieces have varying lengths—how do you adjust the cutting plan?
5. How do you handle rounding in practical cutting situations?
6. How would you calculate the remaining length of wood after the cuts?
7. What are other units of measurement used in carpentry besides inches?
8. How would you approach a similar problem if the board were measured in feet?

Tip: Always measure carefully before cutting to avoid wasting materials.

Learn how to calculate how many pieces of wood, each 7 1/2 inches long, can be cut from a 45-inch board using division and fraction concepts. Discover the step-by-step solution and related questions. Suitable for students in Grades 4-6.

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