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

1 answer

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.