You get the largest sum if you add all of the numbers.
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5/30 + 4/6 = 1/6 + 4/6 = 5/6
4/6, 5/5, 5/6, 6/4, 6/5, 6/6 ie 6 out of 36.
(1, 5, 6, 6), (2, 4, 6, 6), (2, 5, 5, 6), (3, 3, 6, 6), (3, 4, 5, 6), (3, 5, 5, 5), (4, 4, 4, 6), (4, 4, 5, 5).
what is the largest three-digit number that is divisible by 4, 5, and 6
6 x 9 = 54