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Why is the coefficient of a fraction $\frac{1}{denominator}$ instead of simply $1$?

Wouldn't the result be the same?

Adola
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user338878
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    The context is not clear. Are you referring to coefficients in polynomials? e.g. writing $\frac{1}{4}x^2$ vs. $\frac{x^2}{4}$ – Corellian May 11 '16 at 20:17
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    What exactly do you mean by "coefficient of a fraction"? Could you provide more context? – wgrenard May 11 '16 at 20:17

1 Answers1

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Depends of where you are taking the coefficients. For example Q is generated by 1, taking the coefficients in Q, but if you take them in Z you get just the integers and not all rationals. This becomes clearer when one studies modules and vector spaces.

Joss
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