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What happens to glucose during lactic acid fermentation?
It enters glycolysis, which converts glycolysis into pyruvate. This is then converted into lactic acid.
When an organism's cells does not have any oxygen, it cannot undergo cellular respiration, since the key part of that process is the electron transport chain, which requires oxygen. So, the glucose in your body can't go to the Krebs Cycle after glycolysis, it must undergo fermentation.
Same as usual, glucose enters glycolysis, and is converted into pyruvate, and NADH is oxidized to NAD+. This process converts each glycolysis into 2 ATP and 2 molecules of lactic acid.
A schematic can be seen here: