Of the cars in a used-car lot, 25 are the color gray. 13 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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The fraction of gray cars that are electrically powered is $\frac{13}{25}$. $\boxed{\frac{13}{25}}$ of the cars on the lot are both gray and electrically powered.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to divide the number of cars that are both gray and electrically powered by the total number of cars on the lot.
Number of cars that are both gray and electrically powered = 13
Total number of cars on the lot = 25
Therefore, the fraction of cars on the lot that are both gray and electrically powered is:
$\frac{{\text{Number of cars that are both gray and electrically powered}}}{{\text{Total number of cars on the lot}}} = \frac{{13}}{{25}}$
Hence, the answer is $\boxed{\frac{{13}}{{25}}}$.