Answer: \(1\frac{3}{8}\) inches
Step-by-step explanation:
Given: The length of nail = \(2\frac{1}{2}\ \text{inch}\)
The thickness of the wood = \(1\frac{1}{8}\ \text{inch}\)
The length extended by nail = \(2\frac{1}{2}-1\frac{1}{8}\) inch
First convert the mixed fractions into the improper fraction, we get
⇒The length extended by nail =\(\frac{5}{2}-\frac{9}{8}\) inch
⇒The length extended by nail =\(\frac{5\times4-9}{8}=\frac{20-9}{8}\) inches
⇒The length extended by nail =\(\frac{11}{8}=1\frac{3}{8}\) inches
