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You are cutting as many 32 1/4-inch sections as you can out of a board that is 129 inches long. How many pieces can you get out of the board?

Correct answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} a=32\frac{1}{4}=32+\frac{1}{4}=\frac{32\cdot 4+1}{4}=\frac{128+1}{4}=\frac{129}{4}=32\frac{1}{4}=32.25\text{in} \\ b=129\text{in} \\ n=b/a=129/\frac{129}{4}=129:\frac{129}{4}=129\cdot \frac{4}{129}=\frac{129\cdot 4}{129}=\frac{516}{129}=4 \end{gathered}$$

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