a gasoline pump delivers 3 3/5 gal of gas per minute. how long will it take to fill a gas tank that holds 13 1/2 gal?
To find out how long it will take to fill the gas tank, we need to divide the tank capacity (13 1/2 gal) by the rate at which the pump delivers gas (3 3/5 gal per minute).
First, let's convert the mixed number 3 3/5 to an improper fraction:
3 3/5 = (3 * 5 + 3)/5 = 18/5
Now, let's add the denominators and convert the mixed number 13 1/2 to an improper fraction:
13 1/2 = (13 * 2 + 1)/2 = 27/2
Now, we can divide the tank capacity by the rate at which the pump delivers gas:
27/2 ÷ 18/5 = (27/2) * (5/18) = (27 * 5)/(2 * 18) = 135/36
Simplifying the fraction, we get:
135/36 = (9 * 15)/(9 * 4) = 15/4
Therefore, it will take 15/4 minutes to fill the gas tank.