Final answer:
Jared and Karis jogged the same distance. Jared jogged 6/12 (which simplifies to 1/2) of a mile, and Karis jogged 4/8 (also simplifies to 1/2) of a mile, meaning both ran 0.5 miles.
Step-by-step explanation:
The students in question have jogged various fractions of a mile. To determine which two students jogged the same distance, we need to compare the fractions.
Jared jogged 6/12 of a mile. Since 6/12 simplifies to 1/2, Jared's distance is 0.5 miles. Elliot jogged 7/8 which cannot be simplified to half a mile, so we can set Elliot aside. Janelle jogged 2/3 of a mile; this does not simplify to half a mile either. Lastly, Karis jogged 4/8, which simplifies to 1/2, which is equal to 0.5 miles.
Therefore, the two students who jogged the same distance are Jared and Karis, as both ran a distance equivalent to 1/2 mile.