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 ur answer in simplified fraction form

Answer 1

To find the fraction of cars in the used car lot that are both gray and electrically powered, we can follow these steps:

1. Find the fraction of gray cars. According to the given information, \(\frac{2}{5}\) of the cars are gray.

2. Find the fraction of gray cars that are electrically powered. We know that \( \frac{1}{3} \) of the gray cars are electrically powered.

3. Calculate the fraction of the total cars that are gray and electrically powered. We multiply the fraction of gray cars by the fraction of gray cars that are electrically powered:

\[ \frac{2}{5} \times \frac{1}{3} = \frac{2 \times 1}{5 \times 3} = \frac{2}{15} \]

Therefore, the fraction of the cars on the lot that are both gray and electrically powered is \(\frac{2}{15}\).