The blue lake trail is 11 3/8 miles long. gemma has hiked 2 1/2 miles each hour for 3 hours. how far is she from the end of the trail?

In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
                                             = 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
                                                           = 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
                                                                                   = 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
                                                            = (91 - 60)/8 miles
                                                             = 31/8 miles
                                                             = 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.