Of the cars used in the parking lot, 2/5 are the color gray. 1/3 of the cars are gray and electrically powered vehicles. What fraction of the on the lot are both gray and electrically powered?

(focus on the gray cars an electric-powered cars instead of the whole, and use that to figure out the fraction of cars that are gray and electric powered.)

3 answers

Let's assume there are a total of 100 cars in the parking lot for easier calculation.

2/5 of the cars are gray, which means there are (2/5) * 100 = 40 gray cars.
1/3 of the cars are gray and electrically powered, which means there are (1/3) * 100 = 33.33... gray and electrically powered cars.

Since we cannot have fractional cars, we round the result to the nearest whole number. Therefore, there are 33 gray and electrically powered cars on the lot.

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 in the lot:
Fraction = 33 / 100 = 1/3.

So, 1/3 of the cars on the lot are both gray and electrically powered.
What if we multiply 2/5x1/3
If we multiply 2/5 by 1/3, we get (2/5) * (1/3) = 2/15.

Therefore, 2/15 of the cars on the lot are both gray and electrically powered.
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