We reconsider the problem of “binding” of a pair of fractionally charged solitons in “1100” charge order backgrounds, using the variational Monte Carlo method based on the matrix-product state. In the “1100” charge order ground state of the one-dimensional extended Peierls–Hubbard model, the 2kF bond order wave (BOW) coexists with the 4kF BOW. We have found that the fractionally charged soliton with −e/2, −e being an electronic charge, is accompanied with not only a kink in the 2kF BOW but also a kink in the 4kF BOW, which was not allowed to exist in the dimer model used in the previous study. Calculating the total energy of a pair of fractionally charged solitons with the same charge as a function of the soliton–soliton distance, we have found that the soliton–soliton interaction is repulsive. Therefore the “binding” of the solitons does not occur and the elementary charge excitation from the “1100” charge order ground state is a fractionally charged soliton.