  We study the edge states of fractional quantum Hall liquid at bulk filling
factor $\nu=2/(2p+\chi)$ with $p$ being an even integer and $\chi=\pm 1$. We
describe the transition from a conductance plateau $G=\nu G_0=\nu e^2/h$ to
another plateau $G=G_0/(p+\chi)$ in terms of chiral Tomonaga-Luttinger liquid
theory. It is found that the fractional charge $q$ which appears in the
classical shot-noise formula $S_{I}=2q <I_b>$ is $q=e/(2p+\chi)$ on the
conductance plateau at $G=\nu G_0$ whereas on the plateau at $G=G_0/(p+\chi)$
it is given by $q=e/(p+\chi)$. For $p=2$ and $\chi=-1$ an alternative hierarchy
constructions is also discussed to explain the suppressed shot-noise experiment
at bulk filling factor $\nu=2/3$.
