Question

A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline.

Answer 1

`30\ miles`

Explanation:

First convert mixed number to an improper fractions

`1(7)/(8)=(1*8+7)/(8)=(15)/(8) \ gallons`

`56(1)/(4)=(56*4+1)/(4)=(225)/(4) \ miles`

By proportion

`((225/4))/((15/8))(miles)/(gallons) =(x)/(1)(miles)/(gallon) \\ \\x=(225*8)/(4*15)\\ \\x= 30\ miles`