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How can we prove that an odd number divided by an even number is a fraction? I started with odd $=2m+1$ and even $=2n$ and get left with with $(m+2)/n$.

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    You mean "divided by a _nonzero_ even number", and you probably mean "is not an integer" instead of "is a fraction". To me $\frac 21$ and $\frac{21}7$ are fractions, even though they are also integers.2013-11-25

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