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
Let's assume that there are a total of 100 cars in the used-car lot.
The number of gray cars would be 2/5 * 100 = <<2/5*100=40>>40 cars.
Out of the 40 gray cars, 1/3 * 40 = <<1/3*40=13.333333333333334>>13.33 (rounded to nearest whole number) cars are electrically powered.
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 13/100.
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.
Given that 2/5 of the cars are gray, and 1/3 of the gray cars are electrically powered, we can calculate the fraction as follows:
(2/5) * (1/3)
To multiply fractions, we multiply the numerators together (2 * 1) to get the numerator of the product and multiply the denominators together (5 * 3) to get the denominator of the product:
(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.
To find the fraction of cars in the used-car lot that are both gray and electrically powered, we need to find two fractions: the fraction of cars that are gray and the fraction of gray cars that are electrically powered.
First, let's find the fraction of cars that are gray. We are given that 2/5 of the cars in the lot are gray. Therefore, the fraction of gray cars is 2/5.
Next, we need to find the fraction of gray cars that are electrically powered. We are given that 1/3 of the gray cars are electrically powered. So, if we take 1/3 of the 2/5 fraction of gray cars, we can determine the fraction of gray cars that are electrically powered.
(2/5) * (1/3) = 2/15
Therefore, the fraction of the cars on the lot that are both gray and electrically powered is 2/15.