# The gas mileage of a car is 28.16 miles per gallon. how many gallons per mile is this?

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2
Feb 14, 2018

$1$ gallon per $\frac{25}{704}$ miles, or $1$ gallon per about $0.0355$ miles

#### Explanation:

We can set up a proportion :

$\frac{28.16}{1} = \frac{1}{x}$

We don't want decimals in a fraction, so multiply $\frac{1}{28.16}$ by 100/100 (=1).

$\frac{28.16}{1} \cdot \frac{100}{100}$

$\frac{2816}{100}$

Now simplify:

$\frac{2816 \div 4}{100 \div 4}$

$\frac{704}{25}$

Back to the equation:

$\frac{704}{25} = \frac{1}{x}$

Cross-multiply:

$704 x = 25 \cdot 1$

Divide both sides by $704$:

$x = \frac{25}{704}$ or about $0.0355$

So, the answer is $\frac{25}{704}$ or $0.0355$ about gallons per mile.

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1
Feb 22, 2018

28.16 miles per gallon

Written mathematically we have:

28.16 miles = 1 gallon

Dividing by 28.16 on both sides we get:

1 mile = $\left(1 \div 28.16\right)$ gallons

or, 1 mile = 0.0355114 gallons

:)>

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Feb 9, 2018

An alternate approach...

#### Explanation:

We're told that we have a car that uses 1 gallon of gas to go 28.16 miles:

$\text{miles"/"gallon} = \frac{28.16}{1}$

What we want to know is how many gallons per mile:

$\text{gallon"/"miles}$

We already know the ratio, $\frac{28.16}{1}$, so we need to invert the fraction:

$\frac{1}{28.16} \cong 0.0355$ gallons per mile

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