A non-terminating repeating number must be rational. When its fractional part is in its simplest form, the denominator must have a prime factor other than 2 or 5.
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If, when you carry out long division, the remainder at some stage happens to be the same as the remainder at an earlier stage.
It is 29 because 29*23 = 667
Oh honey, let me break it down for you. If a decimal stops and ends, it's terminating like a bad date. If it goes on forever in the same pattern, it's repeating like a broken record. But can it be both? Absolutely not, it's one or the other, darling.
In general, you cannot.If the fraction is in its simplest form and the denominator has any prime factor other than 2 or 5 then it is a repeating decimal; otherwise it will terminate. However, most people will not know simply by looking whether 21474836480 has any factors other than 2 and 5.
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