I'm a little more pessimistic than Bob, but my numbers are similar.
First of all, Journey On has a 2.7 cu ft Norcold refridg, from the factory. Once we leave the house, the refridg is running and doesn't get turned off until we get home. So it's been running about 10 weeks now, full time. At night, whilst listening to the darn thing run, I'd estimate the duty cycle is 50% and doesn't seem to vary much with the external temp. I'll admit that it hasn't been very warm this year in the Pacific NW, but 50% is still a reasonable duty cycle.
I also estimate the darn thing draws 4 amps, though the mfg says 3 max. I'd bet that's at full voltage at the refridg, which it doesn't see.
That amounts to 4x0.5x24= 48 amp hrs/day. I would bet this is a good number to use for a lot of refrigerators.
Journey On has 2 ea set of golph cart batteries, which provide 200 amp-hrs of capacity. Doing the arithmetic, we can safely go 2+ days to reach ~50%. For a 115 A-H battery, that's 1 day for 50%. AND NOTHING ELSE, such as cabin lights.
However, we usually recharge the batteries once/day. If we're driving, we stop at night and hook up to electricity. If we're anchored for a couple of days, I'll run the Honda generator once a day. We stop comfort's sake and I take advantage to recharge so as to not ruin the batteries. Those suckers run $120 ea, though they last for 6 years (as recharged per above.) That's worked well for years.
Trying to run 2 days on a small 115 AH (Grp 29) or even 130 AH (Grp 31) is possible but just reduces battery life. Your call.
Boris