The representation is indeed not canonical but the object compare coherently

sage: R.<t>=QQ[] sage: (2*t+2)/(2*t) (2*t + 2)/(2*t) sage: (2*t+2)/(2*t) == (t+1)/t True The reason is that 2 is a unit in QQ. You can compare with sage: R.<t>=ZZ[] sage: (2*t+2)/(2*t) (t + 1)/t It would be nice to have better simplification rules for QQ (and more generally fraction fields). Vincent On 15/04/2018 21:37, dhr wrote:

Hi Reduction of rational functions seems not to work in specific cases. In the following output, =================== sage: R.<t>=QQ[] sage: (2*t+2)/(2*t) (2*t + 2)/(2*t) sage: (2*t+2)/(2) t + 1 sage: (2*t^2+2*t)/(2*t) t + 1 =================== 2 is not reduced in the first calculation. SageMath version 8.1

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