So - stop guessing. Before investing in batteries, panels, and gear, actually measure that fridge for 36-48 hours with a P3-International "kill-a-watt" inline meter to see how many watts are being pulled from the wall first! THEN you can make a better educated purchasing decision.
The fact that these guys are trying to run fridges of ac/inverters, rather than investing in a dc-powered fridge is beyond me. Doing that is about 30% inefficiency down the drain.
Chrisski: the rule of thumb rarely takes into account the real-world, and is generally napkin-calc. The GOAL is to do your "power budget" first (how much current you draw over time needed - or if powering solely by inverters, convert everything into watts / watthours)
Choose your battery capacity according to your need. Now you can plan your solar array appropriately. Instead of winging it, also look at the solar-insolation hours for your area, and plan your system around WINTER hours. Then add a day, maybe 2 or 3 depending on how much headroom of outage you need.
Note that planning your system requires you to know if you are totally off-grid 24/7, (daily cyclic duty), or a weekend-warrior type (intermediate), or standby/emergency. This, along with your solar insolation hours, will help determine not only the capacity of your batts, but perhaps also your chemistry.
Anyway, I'm kind of dismayed at how many throw money at the wall, without investing in the basic tools to do their power-buget themselves with current-meters and wattmeters first. Do you have a clamp-on ammeter at the very least? Get one of these before you go bigtime with major loads.

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