Lexie is painting her fence. each foot of the fence requires 3/5 of a gallon of paint. Her fence is 8 3/4 feet long.what is the total amount of paint,in gallons Lexie needs to paint her fence?
8.75 * 0.6 = _____ gallons
To find the total amount of paint Lexie needs to paint her fence, we need to multiply the length of the fence by the amount of paint required per foot.
First, let's convert the mixed number 8 3/4 to an improper fraction.
8 3/4 = (8 * 4 + 3) / 4 = 35/4
Now, we multiply the length of the fence by the amount of paint required per foot:
(35/4) * (3/5) = (35 * 3) / (4 * 5) = 105/20
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
105/20 = (105 ÷ 5) / (20 ÷ 5) = 21/4
Therefore, Lexie needs a total of 21/4 gallons of paint to paint her fence.