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