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A 2 1/2 inch nail is driven through a 1 1/8 inch thick piece of wood supporting a joist. How far into the joist did it extend?

Respuesta :

It extended the joist by 1 3/8 .

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