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 in simplified fraction form.
If 2/5 of the cars are gray, then there are (2/5) * (1/3) = 2/15 of the lot's cars that are both gray and electrically powered. Answer: \boxed{\frac{2}{15}}.
Can you simplify that
Sure!
The fraction 2/15 cannot be simplified any further. So, the simplified fraction for the number of cars on the lot that are both gray and electrically powered is \boxed{\frac{2}{15}}.
To find the fraction of cars on the lot that are both gray and electrically powered, we multiply the fractions representing the percentages.
Fraction of cars that are gray = 2/5
Fraction of gray cars that are electrically powered = 1/3
To find the fraction of cars that are both gray and electrically powered, we multiply the fractions:
(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 that are both gray and electrically powered, we need to multiply the fractions of cars that are gray and the fraction of gray cars that are electrically powered.
Fraction of cars that are gray = 2/5
Fraction of gray cars that are electrically powered = 1/3
To find the fraction of cars that are both gray and electrically powered, we multiply these 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.