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.
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.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions that represent these characteristics.
Given:
- 2/5 of the cars are gray, and
- 1/3 of the gray cars are electrically powered.
To find the fraction of cars that are both gray and electrically powered, we multiply (2/5) by (1/3):
(2/5) * (1/3) = 2/15
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.