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This is likely oversimplified, but an intuitive approach is:

1/3 = 0.333 repeating

3/3 = 0.999 repeating

1 = 0.999 repeating



yeah but 1/3 = 0.333 recurring is an equivalent problem to the parent


X = .999r

10x= 9.999r

10x - x = 9.999r - .999r

9x = 9

x = 1

.999r = 1




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