Question

A custodian 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?

Answer 1

Answer:

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 =  $\frac{21}{4}$

5 1/4 ÷3/4   =   $\frac{21}{4}$ ÷ $\frac{3}{4}$

(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;

                    = $\frac{21}{4}$ ×$\frac{4}{3}$

4 will cancel out 4 hence;

                     =$\frac{21}{3}$

                     = 7

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

Answer 2

5 1/4 divided by 3/4 gets you 7.

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