Son and I getting different answers, could use some help.

Question

Andre rode his bicycle to a part 5 1/2 miles from his house.  He returned along the same route.  After riding 7 1/3 miles total, how many more miles does Andre need to ride to reach his home?

Answer 1

I would start by converting to mixed numbers and then finding a common denominator:

11/2 and 22/3 which can be written 33/6 and 44/6

 

the total distance needed will be (33/6) x 2 = 66/6

 

to find the distance still needed you will subtract the distance traveled from the total:

(66/6) - (44/6) = 22/6

 

now you can simplify:

22/6 = 11/3 = 3 and 2/3 miles