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)

Answer 1

To find the fraction of cars on the lot that are both gray and electrically powered, we can use the information 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 \( \frac{1}{3} \).

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

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

Calculating this, we multiply the numerators and the denominators:

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

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