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? Write the answer in simplest form
To find out how far Elena had run at that point, we need to multiply the length of the course (7/8 mile) by the fraction of the course she had completed before stopping (2/3).
7/8 mile * 2/3 = (7*2)/(8*3) = 14/24
The fraction 14/24 can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2.
14/24 = (14/2)/(24/2) = 7/12
Therefore, Elena had run 7/12 of a mile at that point.