  It is known algebraically that any abelian group is a direct sum of a
divisible group and a reduced group (See Theorem 21.3 of
\cite{Fuchs:abelian-group}). In this paper, conditions to split off rational
parts in homotopy types from a given space are studied in terms of a variant of
Hurewicz map, say $\bar{\rho} : [S_{\Q}^{n},X] \to H_n(X;\Z)$ and generalized
Gottlieb groups. This yields decomposition theorems on rational homotopy types
of Hopf spaces, $T$-spaces and Gottlieb spaces, which has been known in various
situations, especially for spaces with finiteness conditions.
