  We study one dimensional wires with spin-orbit coupling. We show that in the
presence of Zeeman field and strong electron-electron interaction a clean wire
may form fractional helical liquid states with phenomenology similar to
fractional quantum Hall liquids. Most notably, the wire's two terminal
conductance is predicted to show fractional quantized conductance plateaus at
low electron density. When the system is proximity-coupled to a superconductor,
fractional Majorana bound states may be stabilized. We discuss how disorder
destabilizes these fractional phases. Possible experimental realizations of
similar states in double wire systems are discussed.
