Question

Carl Heinrich had lateral filing cabinets that need to be placed along one wall of a storage closet. The filing cabinets are each 2 1/2 feet wide and the wall is 15 feet long. Decide how many cabinets can be placed along the wall

Answer 1

In this case we have to divide the length of the wall by the width of a cabinet. Doing so, we have:

`\begin{gathered} 2(1)/(2)=(2\cdot2+1)/(2)=(5)/(2)\text{ (Converting the mixed number to an improper fraction)} \\ (15)/(1)/(5)/(2)=(15\cdot2)/(5)(\text{Dividing fractions)} \\ (15\cdot2)/(5)=(30)/(5)=6\text{ (Simplifying the result)} \\ \text{The answer is 6 cabinets.} \end{gathered}`