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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:

equation

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

equation

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