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4/6 can be reduced.

First, rewrite 4 as a product of prime numbers ("prime factorize" it):

4 = 2 * 2

Do the same thing for 6:

6 = 2 * 3

We see in the two cases that there is a 2 in common, thus we can "cross" one 2 from the top, and one from the bottom, out. We are left with:

4/6 = 2/3

two-thirds is clearly more than one-third, thus four-sixths is not less than one-third.

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Q: Is four sixths less than one third?
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