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
Let's say there are C cars in the used car lot. 2/5*C = 2C/5 are gray.
1/3*2C/5 = (2C/5)*(1/3) = 2C/15 are gray and electrically powered.
The fraction of cars on the lot that are both gray and electrically powered is 2C/15. Answer: \boxed{\frac{2C}{15}}.
the fraction
I apologize for the confusion. Let's assume there are a total of C cars in the used car lot.
Given that 2/5 of the cars are gray, we have (2/5)C gray cars.
Among the gray cars, 1/3 are electrically powered. Therefore, the number of gray and electrically powered cars is (1/3)(2/5)C = 2/15C.
To find the fraction of cars that are both gray and electrically powered, we divide the number of gray and electrically powered cars by the total number of cars on the lot: (2/15C) / C = 2/15.
So, the fraction of cars on the lot that are both gray and electrically powered is 2/15. Answer: \boxed{\frac{2}{15}}.
To find the fraction of cars on the lot that are both gray and electronically powered, we need to multiply the fractions representing the proportions of gray cars and electrically powered gray cars.
The fraction of gray cars is 2/5.
The fraction of electrically powered gray cars is 1/3.
Multiplying these two fractions:
(2/5) * (1/3) = 2/15
Therefore, the fraction of cars on the lot that are both gray and electronically powered is 2/15.
To find the fraction of cars on the lot that are both gray and electrically powered, we'll need to determine the product of their individual fractions.
First, let's find the fraction of cars that are gray. We are given that 2/5 of the cars on the lot are gray.
Next, we need to determine the fraction of gray cars that are electrically powered. We are given 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 these two fractions: (2/5) * (1/3).
Multiplying the numerators and denominators, we get:
(2/5) * (1/3) = (2 * 1) / (5 * 3) = 2/15.
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.