Elena was running a course 7/8 of a mile long. She stopped 2/3 of the way through to drink some water. How far had she run at that point?

To find out how far Elena had run after stopping to drink water, we need to calculate 2/3 of 7/8 of a mile.

We can calculate this by multiplying 2/3 by 7/8:

(2/3) * (7/8) = (2*7) / (3*8) = 14/24

Since both 14 and 24 are divisible by 2, we can simplify the fraction to:

14/24 = (7/12) mile.

Therefore, Elena had run 7/12 of a mile at the point when she stopped to drink water.