Of the cars in a used car lot 2/5 are 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
Let's say there are a total of N cars on the used car lot.
2/5 of the cars on the lot are gray, so the number of gray cars is (2/5)N.
Out of the gray cars, 1/3 are electrically powered. So the number of gray and electrically powered cars is (1/3)(2/5)N = (2/15)N.
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.
To find the fraction of cars on the lot 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.
The fraction of gray cars on the lot is 2/5.
The fraction of gray cars that are electrically powered is 1/3.
To find the fraction of cars that are both gray and electrically powered, we multiply these two fractions:
(2/5) * (1/3) = 2/15
Therefore, 2/15 of the cars on the lot are both gray and electrically powered.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and the proportion of electrically powered cars among the gray cars.
First, let's find the fraction of cars on the lot that are gray. We are told that 2/5 of the cars are gray.
Next, let's find the fraction of gray cars that are electrically powered. We are told that 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 (the fraction of gray cars) by 1/3 (the fraction of electrically powered cars among the gray cars):
(2/5) * (1/3) = 2/15
Therefore, 2/15 of the cars on the lot are both gray and electrically powered.