Of the cars in a used-car lot, 2/5

Question

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)
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Answer 1

To find the fraction of cars on the lot that are both gray and electrically powered, we can use the information given in the problem:

1. First, we need to determine what fraction of the cars are gray. According to the problem, \( \frac{2}{5} \) of the cars are gray.

2. Next, we find out what fraction of the gray cars are electrically powered. The problem states that \( \frac{1}{3} \) of the gray cars are electrically powered.

Now, to find the fraction of the total cars that are both gray and electrically powered, we can multiply these two fractions together:

\[ \text{Fraction of cars that are both gray and electrically powered} = \left( \frac{2}{5} \right) \times \left( \frac{1}{3} \right) \]

Next, we multiply the numerators and the denominators:

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

Thus, the fraction of the cars on the lot that are both gray and electrically powered is:

\[ \boxed{\frac{2}{15}} \]