Acustodian plans to repaint some classroom bookcase. she has 5 1/4 gallons of paint. all the bookcases are the same size and each requires 3/4 gallon of paint. how many bookcases will the custodian be able to repaint with the amount of paint?

The custodian will be able to repaint 7 bookcases with the amount of paint.

Step-by-step explanation:

The custodian  has  5 1/4 gallons of  paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give  us the number.

But first we need to change 5 1/4 to improper fraction,

thus; 5 1/4 =  

5 1/4 ÷3/4   =   ÷

(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;

                    = ×

4 will cancel out 4 hence;

                     =

                     = 7

Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.

step-by-step explanation: