Liam has 9/10 gallon of paint for painting the birdhouse he sells at the craft fair. Each birdhouse requires 1/20 gallon of paint.how many birdhouse can Liam paint? Show your work.

Respuesta :

First get common denominators of 20.

9/10 gallons of paint ·2/2= 18/20

(Gallons of paint available)/(Paint required per house)= # of total houses.
(18/20)/(1/20)= 
Dividing by a fraction can be multiplied by reciprocal.

(18/20)x(20/1)=18 birdhouses
In this question, each birdhouse requires 1/20 gallon of paint. From this description you can get this equation:

1 birdhouse= 1/20 gallon of paint

Then 9/10 gallon of paint would equal to: 
9/10 gallon of paint / (1/20 gallon of paint/1 birdhouse)=
9/10 gallon of paint *20 birdhouse / 1 gallon of paint=
180/10 * birdhouse= 18 birdhouse