Nathaniel's car used 2/3 of a gallon to travel 11 miles. How many miles can the car go on one gallon of gas?
To find how many miles the car can go on one gallon of gas, we can set up a proportion. Let's call the number of miles the car can go on one gallon of gas 'x'. We know that the car used 2/3 of a gallon to travel 11 miles. So we can set up the proportion: (2/3) / 11 = 1 / x.
To solve this proportion, we can cross multiply:
(2/3) * x = 11 * 1
2x / 3 = 11
To isolate x, we can multiply both sides of the equation by 3/2:
(2x / 3) * (3/2) = 11 * (3/2)
x = 33/2
So the car can travel 16.5 miles on one gallon of gas.