The frame

Rodney has a board that is 5/6 yards long. He cuts 1/5 yard off the board and uses the rest to make a frame. How much of the board is used to make the frame?

Correct answer:

x =  0.6667 yd

Step-by-step explanation:

$$\begin{gathered} a=\frac{5}{6}\doteq 0.8333\text{yd} \\ b=a\cdot \frac{1}{5}=\frac{5}{6}\cdot \frac{1}{5}=\frac{5\cdot 1}{6\cdot 5}=\frac{5}{30}=\frac{1}{6}\doteq 0.1667\text{yd} \\ x=a-b=\frac{5}{6}-\frac{1}{6}=\frac{5-1}{6}=\frac{4}{6}=\frac{2}{3}\text{yd}=0.6667\text{yd} \end{gathered}$$

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