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

1 answer

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.