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? Write your answer in fraction form using the math tool.(1 point)

Answer 1

To find the fraction of the cars on the lot that are both gray and electrically powered, we can multiply the fractions that represent each category.

1. The fraction of cars that are gray is \( \frac{2}{5} \).
2. The fraction of the gray cars that are electrically powered is \( \frac{1}{3} \).

To find the fraction of cars that are both gray and electrically powered, we multiply these two fractions:

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

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