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. Show yoru work.

Apologies for the error. You are correct. The fraction of cars on the lot that are both gray and electrically powered is indeed $\frac{13}{25}$.

To find the fraction of cars on the lot that are both gray and electrically powered, we need to compare the number of gray electric cars to the total number of cars. We are given that there are 25 gray cars and 13 gray electric cars.

So the fraction of cars on the lot that are both gray and electrically powered is $\frac{13}{25}$.

13/25?

is that the most simplified form?

No, $\frac{13}{25}$ is not in its most simplified form. To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 1 in this case. Dividing both the numerator and denominator by 1, we get $\frac{13}{25}$. Since the numerator and denominator have no common factors other than 1, this is already in its most simplified form.

To find the fraction of cars 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.

To find the total number of cars on the lot, we are given that there are 25 gray cars.

Therefore, the fraction of cars that are both gray and electrically powered is:

13 (gray electric cars) / 25 (gray cars)

This fraction cannot be simplified any further. So the answer 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 and electrically powered cars by the total number of cars on the lot.

Let's break down the information given:
- The total number of gray cars is 25.
- The number of gray cars that are electrically powered is 13.

To calculate the fraction, we'll divide the number of gray and electrically powered cars by the total number of cars on the lot.

Fraction of gray and electrically powered cars = (number of gray and electrically powered cars) / (total number of cars)

To find the number of gray and electrically powered cars, we'll use the information given: 13 gray cars that are electrically powered.

Fraction of gray and electrically powered cars = 13 / (total number of cars)

Since we don't know the total number of cars on the lot, we can leave the fraction as 13/x, where x represents the total number of cars.

Now, to simplify the fraction, we need to find the greatest common factor (GCF) of 13 and x. However, without knowing the value of x, we cannot simplify the fraction further.

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 13/x, where x represents the total number of cars on the lot.