1/3 = .3 repeating. 2/3 = .6 repeating. Since .3 repeating and .6 repeating = .9 repeating, and 1/3 and 2/3 = 1, it stands to reason that .9 repeating = 1 also. The latter is true, since if A = C, and B = D, then if A + B = E, and C + D = F, then E = F.
Since 1 minus .9 repeating = .0 repeating, and .0 repeating = 0, then 1 = .9 repeating since any A - B that = 0, necessitates that A = B.
Fenonn.
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