Respuesta :
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.
The custodian will be able to paint 7 bookcases with the amount of paint there is.
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 = [tex]\frac{21}{4}[/tex]
5 1/4 ÷3/4 = [tex]\frac{21}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
(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;
= [tex]\frac{21}{4}[/tex] ×[tex]\frac{4}{3}[/tex]
4 will cancel out 4 hence;
=[tex]\frac{21}{3}[/tex]
= 7
Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.