The authors propose a "minimal" fractional topological insulator (mFTI) in a transition metal dichalcogenide moiré system, motivated by recent experimental observations of fractional topological states at a total filling factor of 3. The mFTI is characterized by a fully gapped topological order with 16 Abelian anyons if electrons are considered trivial, and 32 if electrons are included. The minimally charged anyon in the mFTI carries an electric charge of \( e/2 \), and the system exhibits fractional quantum spin-Hall conductivity. The mFTI is unique and minimal in terms of total quantum dimension, and it is the common descendant of multiple valley-decoupled product topological orders. The authors classify the mFTIs via the stability of gapless interfaces between them and generalize the construction to a pair of conjugate \( 1/q \)-filled Chern bands. They find that the mFTI belongs to an 8-fold classified list of minimal topological orders, four of which are non-Abelian and exhibit quantized thermal Hall effects.The authors propose a "minimal" fractional topological insulator (mFTI) in a transition metal dichalcogenide moiré system, motivated by recent experimental observations of fractional topological states at a total filling factor of 3. The mFTI is characterized by a fully gapped topological order with 16 Abelian anyons if electrons are considered trivial, and 32 if electrons are included. The minimally charged anyon in the mFTI carries an electric charge of \( e/2 \), and the system exhibits fractional quantum spin-Hall conductivity. The mFTI is unique and minimal in terms of total quantum dimension, and it is the common descendant of multiple valley-decoupled product topological orders. The authors classify the mFTIs via the stability of gapless interfaces between them and generalize the construction to a pair of conjugate \( 1/q \)-filled Chern bands. They find that the mFTI belongs to an 8-fold classified list of minimal topological orders, four of which are non-Abelian and exhibit quantized thermal Hall effects.