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Oksana_A [137]
3 years ago
5

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?
Mathematics
2 answers:
alexgriva [62]3 years ago
3 0

Answer: 12 miles per gallon

trust

me

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mama

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correct

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Ivan3 years ago
3 0

Answer:

<em>The vehicle can travel 12 miles per gallon of gasoline</em>

Step-by-step explanation:

<u>Proportions</u>

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\frac{1}{8}=1+\frac{1}{8}=\frac{9}{8}

13\frac{1}{2}=13+\frac{1}{2}=\frac{27}{2}

The rate of consumption is:

\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}

Operating:

\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}=\frac{27}{2}\cdot\frac{8}{9}=12

The vehicle can travel 12 miles per gallon of gasoline

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