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

Question

2/5
are the color gray. 1/3
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)

Answer 1

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

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

Now, we multiply these two fractions together:

\[ \text{Fraction of cars that are both gray and electrically powered} = \frac{2}{5} \times \frac{1}{3} = \frac{2 \times 1}{5 \times 3} = \frac{2}{15} \]

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