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 your answer in simplified fraction form.(1 point)
blank$$
Let's assume that there are a total of 100 cars on the lot.
Since 2/5 of the cars are gray, there are (2/5) * 100 = 40 gray cars.
And, since 1/3 of the gray cars are electrically powered, there are (1/3) * 40 = 40/3 = 13.33 (approximately) gray electrically powered cars.
However, we need to leave the answer in simplified fraction form.
To simplify 13.33, we can round it to the nearest whole number, which is 13.
Therefore, the fraction of the cars on the lot that are both gray and electrically powered is 13/100.
So, the answer 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.
The fraction of gray cars is 2/5.
The fraction of gray cars that are electrically powered is 1/3.
To multiply fractions, we multiply the numerators and denominators: (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 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.
Let's start by finding the fraction that represents the proportion of gray cars:
Since 2/5 of the cars are gray, the fraction representing the proportion of gray cars is 2/5.
Now let's find the fraction that represents the proportion of gray cars that are electrically powered:
Since 1/3 of the gray cars are electrically powered, we can multiply 2/5 (the proportion of gray cars) by 1/3 (the proportion of gray cars that are electrically powered):
(2/5) * (1/3) = 2/15
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.