Solve. Write your answer in simplest form.
-A nail $3 \frac { 1 } { 2 }$ inches long is driven into a board $2 \frac { 2 } { 5 }$ inches thick. How much of the nail protrudes fror the other side of the board?
A) $\frac { 2 } { 9 }$ inch

B) $1 \frac { 1 } { 10 }$ inches

C) $2 \frac { 4 } { 9 }$ inches

D) $\frac { 1 } { 10 }$ inch

Question

Solve. Write your answer in simplest form.
-A nail $3 \frac { 1 } { 2 }$ inches long is driven into a board $2 \frac { 2 } { 5 }$ inches thick. How much of the nail protrudes fror the other side of the board?
A) $\frac { 2 } { 9 }$ inch

B) $1 \frac { 1 } { 10 }$ inches

C) $2 \frac { 4 } { 9 }$ inches

D) $\frac { 1 } { 10 }$ inch

Quizplus · Accepted Answer

To find the amount of nail that protrudes from the board, we need to subtract the thickness of the board from the length of the nail:

$3\frac{1}{2}-2\frac{2}{5}=1\frac{8}{10}-2\frac{2}{5}=\frac{18}{10}-\frac{14}{5}=\frac{9}{5}-\frac{14}{5}=-\frac{5}{5}=-1$

Since we can't have a negative amount of nail protruding, we know that the nail doesn't go all the way through the board. The absolute value of our result is:

$|-1|=1$

So $1\frac{1}{10}$ inches of the nail protrudes from the other side of the board. Therefore, the answer is B).

Solve Write Your Answer in Simplest Form 3123 \frac { 1 } { 2 }321​

Solve Write Your Answer in Simplest Form $3 \frac { 1 } { 2 }$