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.
The fraction of cars on the lot that are both gray and electrically powered is $\dfrac{13}{25}$. This fraction cannot be simplified, so the answer is $\boxed{\dfrac{13}{25}}$.
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.
We know that there are a total of 25 gray cars and 13 of them are also electrically powered. So the fraction can be calculated as:
Number of gray and electrically powered cars / Total number of cars
= 13 / 25
However, we can simplify this fraction by finding a common factor for both the numerator and denominator. In this case, the only common factor is 1. So the simplified fraction is:
13 / 25
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 13/25.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to divide the number of gray electric cars by the total number of cars on the lot.
The number of gray electric cars is 13.
The total number of cars on the lot is 25.
So, the fraction of cars on the lot that are both gray and electrically powered is 13/25.