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?

Respuesta :

Answer: 12 miles per gallon

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Answer:

The vehicle can travel 12 miles per gallon of gasoline

Step-by-step 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:

[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{9}{8}[/tex]

[tex]13\frac{1}{2}=13+\frac{1}{2}=\frac{27}{2}[/tex]

The rate of consumption is:

[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}[/tex]

Operating:

[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}=\frac{27}{2}\cdot\frac{8}{9}=12[/tex]

The vehicle can travel 12 miles per gallon of gasoline

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