Solve. Write your answer in simplest form.
-A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 2 inches wide. When it is trimmed, it is $1 \frac { 13 } { 16 }$ inches wide. How much width was trimmed off?
A) $\frac { 13 } { 16 } \mathrm { inch }$

B) $2 \frac { 3 } { 16 }$ inches

C) $\frac { 3 } { 16 }$ inch

D) $1 \frac { 13 } { 16 }$ inches

Question

Solve. Write your answer in simplest form.
-A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 2 inches wide. When it is trimmed, it is $1 \frac { 13 } { 16 }$ inches wide. How much width was trimmed off?
A) $\frac { 13 } { 16 } \mathrm { inch }$

B) $2 \frac { 3 } { 16 }$ inches

C) $\frac { 3 } { 16 }$ inch

D) $1 \frac { 13 } { 16 }$ inches

Quizplus · Accepted Answer

To find how much width was trimmed off, we need to subtract the trimmed width from the rough cut width. We can convert the mixed number trimmed width to an improper fraction: $$1 \frac { 13 } { 16 } = \frac{16}{16} \cdot 1 + \frac{13}{16} = \frac{16+13}{16} = \frac{29}{16}$$ Now we can subtract this from 2: $$2 - \frac{29}{16} = \frac{32}{16} - \frac{29}{16} = \frac{3}{16}$$ Therefore, the trimmed width was $\boxed{	extbf{(C)}\ \frac{3}{16}	ext{ inch}}$.

Solve Write Your Answer in Simplest Form 113161 \frac { 13 } { 16 }11613​

Solve Write Your Answer in Simplest Form $1 \frac { 13 } { 16 }$