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 your answer in simplified fraction form.
5 answers
To find the fraction of cars that are both gray and electrically powered, we must multiply the fraction of cars that are gray by the fraction of gray cars that are electrically powered. Multiplying $\frac{2}{5}$ by $\frac{1}{3}$ is $\frac{2}{5}\times\frac{1}{3}=\frac{2*\cancel{5}}{\cancel{5}*3}=\frac{2}{\boxed{15}}$.
repeat that
To find the fraction of cars on the lot that are both gray and electrically powered, we can multiply the fraction of gray cars by the fraction of gray cars that are electrically powered.
The fraction of cars that are gray is $\frac{2}{5}$.
The fraction of gray cars that are electrically powered is $\frac{1}{3}$.
Multiplying $\frac{2}{5}$ by $\frac{1}{3}$ equals $\frac{2}{5} \times \frac{1}{3} = \frac{2 \times 1}{5 \times 3} = \frac{2}{15}$.
Therefore, $\frac{2}{15}$ of the cars on the lot are both gray and electrically powered.
The fraction of cars that are gray is $\frac{2}{5}$.
The fraction of gray cars that are electrically powered is $\frac{1}{3}$.
Multiplying $\frac{2}{5}$ by $\frac{1}{3}$ equals $\frac{2}{5} \times \frac{1}{3} = \frac{2 \times 1}{5 \times 3} = \frac{2}{15}$.
Therefore, $\frac{2}{15}$ of the cars on the lot are both gray and electrically powered.
its 2/15 yall
Apologies for any confusion caused. You are correct, the fraction of cars on the lot that are both gray and electrically powered is $\frac{2}{15}$.
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