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 answer in simplified fraction form
Let's assume that we have a total of 100 cars in the used car lot.
Out of these 100 cars, (2/5) * 100 = <<(2/5)*100=40>>40 cars are gray.
Out of these 40 gray cars, (1/3) * 40 = <<(1/3)*40=13.333333333333334>>13.33 (approximately) cars are electrically powered.
Since we cannot have a fraction of a car, the number of gray and electrically powered cars should be a whole number. Therefore, there are 13 cars that are both gray and electrically powered.
The fraction of cars on the lot that are both gray and electrically powered is 13/100, which is already in simplified form.
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 cars that are gray 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 2/5 by 1/3:
(2/5) * (1/3) = 2/15
Therefore, the answer is 2/15.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fraction of cars that are gray by the fraction 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, let's calculate the fraction of cars that are both gray and electrically powered.
Fraction of cars that are gray = 2/5
Fraction of gray cars that are electrically powered = 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, the fraction of cars on the lot that are both gray and electrically powered is 2/15.