To find the fraction of the cars that are both gray and electrically powered, we need to calculate the number of gray cars that are electrically powered and then divide that by the total number of cars.
Given:
- The fraction of gray cars is \(\frac{25}{2}\).
- The fraction of gray cars that are electrically powered is \(\frac{13}{1}\).
However, it seems there may be a misunderstanding in the fractions provided, as they do not represent valid values for cars in a lot (fractions greater than 1).
Assuming there might be a missing context or an error in the figures provided, let’s clarify:
Possibility 1:
If we assume the total number of cars is \(n\), then the fraction of gray cars can be expressed correctly based on the total. If we redefine \(x\) as the total number of cars, the fraction of gray cars would be more realistically expressed as \(\frac{g}{x}\).
And if \( \frac{25}{100} \) represents gray cars, then:
- Gray Cars: \( g = \frac{25}{100} \times x = \frac{g}{4} × x \).
And if we know \(\frac{13}{100}\) represent electrically powered cars, (assuming it means electrically powered cars but not specifically from gray).
Then calculate:
- \( \frac{g}{4} × \frac{13}{100}\) for the fraction of gray and electrically powered cars may reside in some clarity.
Possibility 2:
If both fractions are meant to express valid numbers under some specific condition.
- Calculate the proportion of gray cars that are electrically powered: \[ \text{Fraction of gray and electrically powered cars} = \left(\text{fraction of gray cars}\right) \times \left(\text{fraction of gray cars that are electrically powered}\right). \]
If provided fractions 25/100 and 13/100 could have been expressed, would yield a final fraction, once clarified.
Simple Formula:
If the total fractions align well, then potentially the outcome could simplify further.
Please clarify the values so accurate calculations can be made to establish a simplified fraction further.