Ethan ran 5/6 of the way along a 3 1/3 mile path. How many miles did he go?

Question

I don't understand. Please give me the answer and tell me how you got it.

Answer 1

The path is 3 1/3 mi long. This is the same as 10/3 miles or, by multiplying top and bottom by 2, 20/6 miles.

Ethan ran 5/6 of the distance. This is 5/6 of 20/6 miles or a distance of 5/6 * 20/6 = 100/36 ~ 2 7/9 miles.

Presumably Ethan walked the remaining 5/9 mile.

2 7/9 = 25/9 + 5/9 = 30/9 = 3 3/9 = 3 1/3, the length of the path.