A student takes 1/6 an hour to paint 1 picture frame. To find how many pictures frame can the student paint in 4 hours, we can use the next proportion:
[tex]\frac{\frac{1}{6}\text{hour}}{4\text{ hours}}=\frac{1\text{ picture frame}}{x\text{ picture frames}}[/tex]Solving for x,
[tex]\begin{gathered} \frac{1}{6}\cdot x=1\cdot4 \\ x=\frac{4}{\frac{1}{6}} \\ x=4\cdot6 \\ x=24 \end{gathered}[/tex]The student can paint 24 picture frames in 4 hours
