Biking: = (12*5)/8 miles = 60/8 miles This can be reduced to, = 15/2 miles
Swimming: = (5*2)/3 miles = 10/3 miles
Running: = (6*3)/8 miles = 18/8 miles This can be reduced to, = 9/4
Now we add all the distances up: = (15/2) + (10/3) + (9/4)
Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So: = (15/2) + (10/3) + (9/4) = [(15*6)/12] + [(10*4)/12] + [(9*3)/12] = (90/12) + (40/12) + (27/12) = (157/12) Therefore Aaron Ran 157/12 miles or 13.08 miles.