if carlos is jogging 3/4 of a mile in 1/8 of a hour and megan jogs at a pace of 7/10 miles in 1/6 of a hour than whos running faster

To compare their speeds, we need to find how many miles each person runs in one hour.

Carlos runs 3/4 of a mile in 1/8 of an hour.
To find how many miles he runs in one hour, we multiply the distance he runs by the reciprocal of the time:
(3/4) * (8/1) = 6

Megan runs 7/10 of a mile in 1/6 of an hour.
To find how many miles she runs in one hour, we multiply the distance she runs by the reciprocal of the time:
(7/10) * (6/1) = 42/10 = 4.2

Therefore, Megan runs faster than Carlos.