Unless its a residential type fridge, you shouldn't need the inverter either. The typical RV fridge runs on either 120v electric or LP gas and switches to LP mode automatically when no electric is available. It may also be that the fridge is not plugged into an outlet that is served by the inverter, so won't run in 120v electric mode except from generator or shore power.
Since you didn't mention the year of your Meridian, the make or type of fridge, or any other details, it is hard to make suggestions because we don't know what you have. The configuration of the inverter power system and the type of fridge makes a big difference in what should work and how to do it.
2004 American Tradition; 2014 Buick LaCRosse
Homebase in the Ocala Nat'l Forest near Ocala, FL