Metal rod

You have a metal rod that's 51/64 inches long. The rod needs to be trimmed. You cut 1/64 inches from one end and 1/32 inches from the other end. Next, you cut the rod into six equal pieces. What will be the final length of each piece?

Correct answer:

x =  1/8 inch

Step-by-step explanation:

$$\begin{gathered} a=\frac{51}{64}\doteq 0.7969\text{inch} \\ c=\frac{1}{64}+\frac{1}{32}=\frac{1}{64}+\frac{2}{64}=\frac{1+2}{64}=\frac{3}{64}\doteq 0.0469\text{inch} \\ n=6 \\ x=\frac{a-c}{n}=\frac{\frac{51}{64}-\frac{3}{64}}{6}=\frac{1}{8}\text{inch}=0.125\text{inch} \end{gathered}$$

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