  The scattering of exotic quasiparticles may follow different rules than
electrons. In the fractional quantum Hall regime, a quantum point contact (QPC)
provides a source of quasiparticles with field effect selectable charges and
statistics, which can be scattered on an 'analyzer' QPC to investigate these
rules. Remarkably, for incident quasiparticles dissimilar to those naturally
transmitted across the analyzer, electrical conduction conserves neither the
nature nor the number of the quasiparticles. In contrast with standard elastic
scattering, theory predicts the emergence of a mechanism akin to the Andreev
reflection at a normal-superconductor interface. Here, we observe the predicted
Andreev-like reflection of an $e/3$ quasiparticle into a $-2e/3$ hole
accompanied by the transmission of an $e$ quasielectron. Combining shot noise
and cross-correlation measurements, we independently determine the charge of
the different particles and ascertain the coincidence of quasielectron and
fractional hole. The present work advances our understanding on the
unconventional behavior of fractional quasiparticles, with implications toward
the generation of novel quasi-particles/holes and non-local entanglements.
