Q:

Mark is training for a mini triathlon. He rode his bike 3/4 mile, ran 5/6 mile, and swam 10/12 mile each day for 7 days . What combined distance did Mark exercise during the week?

Accepted Solution

A:
we know that
each day
rode his bike -------> 3/4 mile------> 9/12 miles  (multiply by 3 both members)
ran --------------------> 5/6 mile-----> 10/12 miles (multiply by 2 both members)
swam ----------------------> 10/12 mile

[combined distance each day]=(9/12)+(10/12)+(10/12)----> 29/12 miles
[combined distance each week]=7*29/12--------> 203/12 miles

the answer is
203/12 miles