5 C-IIH3CIIOOH + 4 KMnVIIO4 + 6 H2SO4 10 HCIIOOH + 4 MnIISO4 + 2 K2SO4 + 6 H2O

This is an oxidation-reduction (redox) reaction:

4 MnVII + 20 e- 4 MnII (reduction)

5 C-II - 20 e- 5 CII (oxidation)

KMnO4 is an oxidizing agent, CH3COOH is a reducing agent.