Question

A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?

Answer 1

Answer: 12 miles per gallon

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Answer 2

The vehicle can travel 12 miles per gallon of gasoline

Explanation:

Proportions

A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles.

It's required to find the rate of miles per gallon of gasoline consumption of the vehicle.

First, we convert all the mixed fractions to improper fractions:

`1(1)/(8)=1+(1)/(8)=(9)/(8)`

`13(1)/(2)=13+(1)/(2)=(27)/(2)`

The rate of consumption is:

`\displaystyle ((27)/(2))/((9)/(8))`

Operating:

`\displaystyle ((27)/(2))/((9)/(8))=(27)/(2)\cdot(8)/(9)=12`

The vehicle can travel 12 miles per gallon of gasoline