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 electrically powered? Leave your answer in simplified fraction form.
please explian

To find the fraction of cars that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and the proportion of gray cars that are electrically powered.

Since 2/5 of the cars are gray, and 1/3 of the gray cars are electrically powered, the fraction of cars that are both gray and electrically powered can be found by multiplying the two fractions:

(2/5) * (1/3) = 2/15.

Therefore, 2/15 of the cars on the lot are both gray and electrically powered.