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How to find the remainder of a recurring decimal?
The answer for 14 % 26 (14 modulo 26) is 14. But it is a recurring decimal. How do I know when to stop dividing it further. Or have I misunderstood modulus? Explain please.
1 Answer
- ?Lv 75 months agoFavorite Answer
If it were the other way around, 26 modulo 14, the answer is 12, the remainder for 26 / 14 but the actual answer (if not doing remainders) would be a decimal (1.8571 etc in this case) but you don't reference the decimal at all, since you are doing remainders.
So, when the 2nd number is greater (ie 14/26) the whole first part is the remainder (so the answer is 14). Again, the actual answer would be a decimal if you weren't doing remainders (.538..... in this case) but since you are doing remainders, again you ignore the decimal.