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.(1 point)
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The fraction of cars on the lot that are both gray and electrically powered is $\frac{13}{25}.$
To find the fraction of the cars on the lot that are both gray and electrically powered, we need to determine the ratio of the number of gray electrically powered cars to the total number of cars on the lot.
From the given information:
Number of gray cars = 25
Number of gray electrically powered cars = 13
Therefore, the fraction of gray electrically powered cars is:
\[ \frac{13}{25} \]
So, the answer is:
\[ \frac{13}{25} \]
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.
Given that there are 25 gray cars on the lot and 13 of them are electrically powered, the fraction of cars that are both gray and electrically powered can be calculated as follows:
Fraction = (Number of gray electric cars) / (Total number of cars on the lot)
Fraction = 13 / 25
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
GCD(13, 25) = 1
Dividing both the numerator and denominator by 1, we get the simplified fraction:
Fraction = 13 / 25
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 13/25.