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2 votes
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.

asked
User Mcruz
by
7.3k points

1 Answer

3 votes

Answer:

30 miles

Explanation:

In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:

(56 1/4 mi)/(1 7/8 gal) = 30 mi/gal

The vehicle can travel 30 miles per gallon of gas.

_____

My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.

(56 1/4)/(1 7/8) = (225/4)/(15/8)

= (225/4)·(8/15) = (225/15)·(8/4)

= 15·2 = 30

answered
User Tomasz Kaniewski
by
8.2k points

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