You run 7 1/2 miles as a part of an exercise routine. You run 1/2 of that distance on a hill. You run down a slope for the last 1/3 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.

Step-by-step explanation:

Amount of miles ran as part of an exercise routine =  7 1/2 miles = 15/2 miles

If you run 1/2 of that distance on a hill, the distance ran on the hill will be;

= 1/2 of 15/2

= 1/2 * 15/2

= 15/4 miles

If You run down a slope for the last 1/3 of the hill, the number of miles that you run down the hill will be;

1/3 of 15/4

= 1/3 * 15/4

= 15/12

= (3*5)/(3*4)

= 5/4

Write 5/4 as a mixed fraction

5/4 = 1 1/4 miles

Therefore you ran 1 1/4 miles down the slope