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A repeating but not terminating decimal is one in which, a finite number of places after the decimal point is followed by a finite string of digits which goes on repeating forever.

For example, 1/3 = 0.3333... and the 3s go on and on.

or

211/700 = 0.30142857142857... where the repetition does not start straight off, and it is a 6-digit string that repeats.

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