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 electronically powered. Leave your answer in simplified fraction form.

Answer 1

If there were 100 cars in the lot, there would be 2/5*100=<<2/5*100=40>>40 gray cars.
If there were 40 gray cars, there would be 1/3*40=<<1/3*40=13.333333333333334>>13.33... cars that are both gray and electrically powered.
Since there can't be a fraction of a car, we know that the answer is not .33, but is instead 0. Therefore, there are 0/100=<<0/100=0>>0 cars that are both gray and electrically powered.
Thus, in simplified form, the answer is 0/100=0.