Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrified? Leave your answer in the simplest fraction form

Answer 1

Let N be the number of cars in the used-car lot.
There are (2/5)*N gray cars.
Of these, (1/3)*(2/5)*N = (2/15)*N cars are both gray and electrically powered.
Thus, the fraction of cars on the lot that are both gray and electrified is 2/15. Answer: \boxed{\frac{2}{15}}.