To find the fraction of the cars on the lot that are both gray and electrically powered, we need to determine how many cars are gray and electrically powered in relation to the total number of cars.
From the information provided:
- The number of gray cars: 25
- The number of gray cars that are electrically powered: 13
Assuming the total number of cars on the lot is equal to the number of gray cars (since no total number of cars is provided), we can denote:
- Total number of cars = 25 (since we only have data for gray cars)
Now we will calculate the fraction of cars that are both gray and electrically powered:
\[ \text{Fraction of gray and electrically powered cars} = \frac{\text{Number of gray and electrically powered cars}}{\text{Total number of cars}} = \frac{13}{25} \]
The fraction \( \frac{13}{25} \) is already in simplified form.
Therefore, the fraction of the cars on the lot that are both gray and electrically powered is:
\[ \boxed{\frac{13}{25}} \]