Given length of the long board = 18 feet
Mr. Sheffo wants to make shelf with boards that are = [tex]1\frac{1}{4}[/tex] feet or [tex]\frac{5}{4}[/tex] feet
So, the number of pieces he can cut from the long board are =
[tex]\frac{18}{\frac{5}{4}}[/tex]
= [tex]\frac{18*4}{5}[/tex] = [tex]\frac{72}{5}[/tex] = [tex]14\frac{2}{5}[/tex] boards
As the number can be a whole number, so 14 boards is the answer.
