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This problem trains for: SAT-I, AMC-8, GMAT.

Divide equally *5* loaves to *6* travelers with the least number of cuts. How many cuts are necessary?

(problem from ancient Egypt)

We notice that:

Therefore, we must cut *3* loaves in half and *2* loaves in *3* portions. The total number of cuts is:

Each traveler receives one half of a loaf and one third of a loaf.