14 KMnO4 (aq) + 3 C3H8O3 (aq) → 12 H2O (l) + 2 CO2 (g) + 14 MnO2 (s) + 7 K2CO3 (aq)
This is an oxidation-reduction (redox) reaction:
14 MnVII + 42 e- → 14 MnIV (reduction)
9 C-2/3 - 42 e- → 9 CIV (oxidation)
KMnO4 is an oxidizing agent, C3H8O3 is a reducing agent.
This is a precipitation reaction: MnO2 is the formed precipitate.
This is a gas evolution reaction, CO2 is the formed gas.