Something is definitely wrong here. With no load (except the voltmeter) there should be negligible voltage drop. Might pay to re-check your readings and re-do your wiring if those readings are repeated.
Both the positive and the earth need to be solid to run a fridge.
Check the voltage between positive at battery and positive at your fridge point, and also earth/negative at battery and at your fridge point to see which one is your issue. These should be zero.




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