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Question:

Jack lives 6(1/2) miles from the library. If he walks 1/3 of the way and takes a break, what is the remaining distance to the library?

A 4(1/3)miles
Explaination

1/3 of 6(1/2) miles is 1/3 * 6(1/2) =1/3 * 13/2= 13/6 miles walked. The remaining distance is 6(1/2)-13/6=13/2-13/6=39/6-13/6=16/6=4(1/3) miles.