The reality is that what you have installed would
just be good enough if working perfectly. A 110Ah
battery has a usable capacity of 66Ah. The fridge takes 5 amps when on. Assume it is only on 40% of the time. That means it uses 2A on average.
A motorhome with a gas fridge will normally have a 110Ah
battery, so you can safely assume that at least half the capacity is not available for the fridge. So that means you have 33 amp hours available for something that uses 2 amps.
Simple maths* says you are good for 16.5 hours. Or 33 hours if everything else is switched off!
Now when you were managing to make it last several days, chances are that you were running the
battery well below the 40% full minimum. Each time you do that, the
battery loses maybe 0.5% of its capacity. So the problem returns faster the next time. And maybe it ran flat in the winter. Chances are that your 110Ah
battery is now a perfectly good 65Ah
battery, with a usable capacity of 38Ah.
So what to do? Well, the first thing I suggest is to make sure you know what is happening. Buy a multimeter (less than a tenner) so you can see what the voltage is directly across the
battery terminals.
You may need to replace the
battery with a pair of proper deep cycle batteries of a similar capacity. I reckon you need at least 220Ah with a compressor fridge.
You may also need to sort out your charging when on the road to make sure the
battery is being filled up. Your van isn't Euro 5 or Euro 6, is it?
Note that I've made no mention of your
solar panel. It may have been helping out, but you really can't depend on never getting five overcast days in a row.
*Quick explanation, which you may not need, but others might:
Amps is the speed that the current flows down the wire. Amp hours is the amount that has flowed (speed x time) Volts is the pressure. Pressure x Speed (V x A) = energy expended (watts).