Two thirds of the parade vehicles were vintage vehicles and 1⁄3 of the vintage vehicles were motorcycles. What fraction of the total parade vehicles are motorcycles?

Answer:the fraction of the total parade vehicles that are motorcycles is 2/9

Step-by-step explanation:

Let x represent the total number of parade vehicles.

Two thirds of the parade vehicles were vintage vehicles. This means that the total number of vintage vehicles would be

2/3 * x = 2x/3

1⁄3 of the vintage vehicles were motorcycles. This means that the total number of motorcycles would be

1/3 * 2x/3 = 2x/9

Therefore, the fraction of the total parade vehicles that are motorcycles would be

2x/9/x = 2/9