Of the cars in the used car lot, 2/5 are the color gray. 1/3 Of the gray cars are electrically powered. What fraction of the cars on the lot are both gray and electrically powered leave your answer in the simplified fraction form.
If 2/5 of the cars are gray, then there are 2/5 * 1 = <<2/5*1=2/5>>2/5 of the cars that are gray.
If 1/3 Of the gray cars are electrically powered, then there are 1 /3 * 2/5 = <<1/3*2/5=2/15>>2/15 of the cars that are both gray and electrically powered. Answer: \boxed{\frac{2}{15}}.
No the answer is 1/5
Apologies for the mistake.
If 2/5 of the cars are gray, then there are 2/5 * 1 = 2/5 of the cars that are gray.
If 1/3 of the gray cars are electrically powered, then the fraction of cars that are both gray and electrically powered is (1/3) * (2/5) = 2/15.
So, the correct answer is indeed \boxed{\frac{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 gray cars by the fraction of gray cars that are electrically powered.
Fraction of gray cars: 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 fractions:
(2/5) * (1/3)
Multiplying the numerators and denominators:
(2 * 1) / (5 * 3)
Simplifying:
2/15
Therefore, the fraction of the cars on the lot that are both gray and electrically powered is 2/15.