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Like that

sage: var('t')
sage: P = t^3 + 1/10*t + 3*t^-1; P
t^3 + 1/10*t + 3/t
sage: rng = LaurentPolynomialRing(QQ,'t')
sage: rng(P.numerator())/rng(P.denominator())
3*t^-1 + 1/10*t + t^3