Using the quartic function as the position to value rule,
Un = (17n4 - 194n3 + 775n2 - 1198n + 672)/24, where n = 1, 2, 3, ...
the next term is 63.
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Convert to equivalent fractions with the same denominator then compare the numerators: 1/3 & 16/18 1/3 = (1×6)/(3×6) = 6/18; 6 ≠ 16 → 1/3 ≠ 16/18 1/3 & 4/12 1/3 = (1×4)/(3×4) = 4/12; 4 = 4 → 1/3 = 4/12 1/3 & 6/8 1/3 = (1×8)/(3×8) = 8/24 6/8 = (6×3)/(8×3) = 18/24; 8 ≠ 18 → 1/3 ≠ 6/8 1/3 is the same as 4/12.
Yes 18*4 is the same as 9*8 because they both come to 72
3/18 + 8/18 = 11/18
18 + [8(3/4)] + 1/3 = 18 + 6 + 1/3, converting to a common base of 3 = 54/3 + 18/3 + 1/3 = 73/3
(2/3)/(8/9) = (2/3)*(9/8) = 18/24 = 3/4