Of the cars in a used car lot, 2/5 are the color grey and 1/3 of the grey cars are electricity-powered vehicles. What fraction of the cars on the lot are both grey and electricity-powered?
leave your answer is simplified fraction form
Let's suppose there are a total of 100 cars on the used car lot.
If 2/5 of the cars are grey, then there are (2/5) * 100 = 40 grey cars.
Out of the 40 grey cars, 1/3 are electricity-powered, so there are (1/3) * 40 = 40/3 = 13.33 electricity-powered grey cars.
As we cannot have 13.33 cars, the number of electricity-powered grey cars must be rounded off to the nearest whole number, which is 13.
Therefore, the fraction of cars on the lot that are both grey and electricity-powered is 13/100.
To find the fraction of cars on the lot that are both grey and electricity-powered, we need to multiply the fractions representing the proportion of grey cars and the proportion of grey cars that are electricity-powered.
Given that 2/5 of the cars are grey, we can represent this as 2/5.
And since 1/3 of the grey cars are electricity-powered, we represent this as 1/3.
To multiply these fractions, we multiply the numerators together (2 * 1 = 2) and multiply the denominators together (5 * 3 = 15).
Therefore, the fraction of cars on the lot that are both grey and electricity-powered is 2/15.
To find the fraction of cars that are both grey and electricity-powered, we need to multiply the fractions representing the proportions of grey cars and electricity-powered cars among the grey cars.
First, let's find the fraction of grey cars by multiplying the total number of cars by the proportion of grey cars:
2/5 * 1 = 2/5
This tells us that 2/5 of the cars are grey.
Now, let's find the fraction of electricity-powered cars among the grey cars by multiplying the fraction of grey cars by the proportion of electricity-powered cars:
2/5 * 1/3 = 2/15
So the fraction of cars on the used car lot that are both grey and electricity-powered is 2/15.