Question

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 $2\frac{1}{2}$ inches long and has a lead of $\frac{1}{8}$ inch, how many complete turns would get it all the way into a piece of wood?
\bigcirc 5
\bigcirc 10
\bigcirc 15
\bigcirc 20
\bigcirc 25

Explanation:

Step1: Convert mixed number to improper fraction

The length of the screw is \( 2\frac{1}{2} \) inches. Convert this to an improper fraction: \( 2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2} \) inches.

Step2: Divide length by lead to find turns

The lead is \( \frac{1}{8} \) inch per turn. To find the number of turns, divide the length by the lead: \( \frac{5}{2}\div\frac{1}{8}=\frac{5}{2}\times8 = 20 \).

Answer:

20