We find the general charged rotating black hole solutions of the maximal supergravities in dimensions 4< D< 9 arising from toroidally compactified Type II string or M-theories. In each dimension, these are obtained by acting on a generating solution with classical duality symmetries. In D=4, D=5 and 6< D < 9 the generating solution is specified by the ADM mass, [D-1/2]-angular momentum components and five, three and two charges, respectively. We discuss the BPS-saturated (static) black holes

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... derive the U-duality invariant form of the area of the horizon. We also comment on the U-duality invariant form of the BPS mass formulae.