Of the cars in a used car lot 2/5are 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 in a simplified fraction form
To find the fraction of cars that are both gray and electrically powered, we need to multiply the fractions representing each category.
The fraction of cars that are gray is 2/5.
The fraction of gray cars that are electrically powered is 1/3.
Multiplying these fractions, we have: (2/5) * (1/3) = 2/15.
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.
Determine the sign of the product of −10.4×−78.2 . Enter + for positive or – for negative.
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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 on the lot (2/5) and the proportion of gray cars that are electrically powered (1/3).
2/5 * 1/3 = (2 * 1) / (5 * 3) = 2/15
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to find the product of the fractions representing the proportion of gray cars and the proportion of gray cars that are electrically powered.
1. Start by determining the fraction of cars that are gray. We are given that 2/5 of the cars are gray. So, if we assume there are a total of 5 cars on the lot, then 2 out of those 5 cars are gray.
2. Next, we need to find the proportion of gray cars that are electrically powered. According to the given information, 1/3 of the gray cars are electrically powered. If we consider the 2 gray cars from step 1, then 1/3 of those 2 cars, or 2/3 of a car, is electrically powered.
3. Now, multiply the fraction representing the proportion of gray cars (2/5) by the fraction representing the proportion of gray cars that are electrically powered (2/3):
2/5 * 2/3 = (2 * 2) / (5 * 3) = 4/15
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 4/15.