Question

a car uses $\frac{2}{5}$ gallons of gasoline to travel 1 mile. find the cars fuel efficiency in miles per gallon. answer with only a number.

Explanation:

Step1: Understand the problem

We know the car uses $\frac{2}{5}$ gallons for 1 mile. We need to find miles per gallon, which is miles divided by gallons. So if 1 mile uses $\frac{2}{5}$ gallons, then 1 gallon will take us $1\div\frac{2}{5}$ miles.

Step2: Perform the division

To divide by a fraction, we multiply by its reciprocal. So $1\div\frac{2}{5}=1\times\frac{5}{2}=\frac{5}{2} = 2.5$

Answer:

2.5