82.1k views
1 vote
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.

User Llovett
by
7.3k points

1 Answer

4 votes

Answer:


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

User Ollie Edwards
by
8.3k points

No related questions found