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 I. Simplified fraction form.

Question

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 I. Simplified fraction form.

Answer 1

To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and the proportion of gray cars that are electrically powered.

The fraction of cars that are gray is 2/5.
The fraction of cars that are gray and electrically powered is 1/3 of 2/5.

To multiply fractions, we multiply the numerators together and multiply the denominators together: (2/5)*(1/3) = 2/15.

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.

Answer 2

To solve this problem, we can multiply the fractions.

First, let's find the fraction of gray cars on the lot. We are told that 2/5 of the cars are gray.

So, (2/5) of the cars are gray.

Next, let's find the fraction of gray cars that are electrically powered vehicles. We are told that 1/3 of the gray cars are electrically powered.

So, (1/3) of the gray cars are electrically powered.

To find the fraction of cars that are both gray and electrically powered, we multiply these two fractions:

(2/5) * (1/3) = 2/15

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.

Answer 3

To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions for each condition.

Given that 2/5 of the cars are gray, and 1/3 of the gray cars are electrically powered, we can multiply these fractions:

(2/5) * (1/3)

To simplify the fraction, we can first find the least common denominator (LCD) between 5 and 3, which is 15.

Next, we can convert both fractions to have 15 as the denominator:

(2/5) * (1/3) = (2/5) * (1/3) * (5/5) * (3/3) = (2/5) * (5/5) * (1/3) * (3/3) = (10/15) * (3/15)

Now we can multiply the numerators together and the denominators together:

(10/15) * (3/15) = (10 * 3) / (15 * 15) = 30/225

Since both 30 and 225 are divisible by 15, we can simplify the fraction further.

Dividing both the numerator and denominator by 15 gives:

30/225 = (2 * 15) / (15 * 15) = 2/15

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.