The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn.  If a screw is 2 1/2 
 inches long and has a lead of 1/8
 inch, how many complete turns would get it all the way into a piece of wood?

To find out how many complete turns it would take for the screw to be fully driven into the piece of wood, we can use the following steps:

1. **Identify the total length of the screw**: The screw is \( 2 \frac{1}{2} \) inches long.

2. **Convert the length to an improper fraction**: 
   \[
   2 \frac{1}{2} = \frac{5}{2} \text{ inches}
   \]

3. **Identify the lead of the screw**: The lead of the screw is \( \frac{1}{8} \) inch.

4. **Calculate the number of turns**:
   To find the number of complete turns, divide the total length of the screw by the lead of the screw:
   \[
   \text{Number of turns} = \frac{\text{Total length of the screw}}{\text{Lead of the screw}} = \frac{\frac{5}{2}}{\frac{1}{8}} 
   \]
   
5. **Simplify the division**:
   \[
   \text{Number of turns} = \frac{5}{2} \times \frac{8}{1} = \frac{40}{2} = 20
   \]

Thus, it would take **20 complete turns** to drive the screw all the way into the piece of wood.

Would you like more details or have any other questions? 

Here are some related questions you might find interesting:

1. What is the difference between the pitch and the lead of a screw?
2. How does the lead of a screw affect the force needed to drive it into wood?
3. How would the number of turns change if the lead were doubled?
4. What would happen if the screw were made longer but the lead remained the same?
5. Can you calculate the mechanical advantage of a screw with a given lead and diameter?

**Tip**: Always double-check the units you're working with, especially when dealing with fractions and measurements.

Discover how many complete turns are needed to fully drive a screw into wood with this math problem solution. Learn about fractions and division in practical applications. Suitable for students in Grades 4-6.

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