What is best a 24v microwave or a 240v run through an inverter?
i would go for the inverter,its a lot cheaper and use it for other goodies.
if you use the search button at the top of the right hand side of your screen and type in microwave you will find plenty of the same topics on the same subject. 
HI ITS 6 OF ONE & HALF A DOZEN OF THE OTHER : IF YOU JUST WANT TO HEAT FOOD & WATER 24V MICROWAVE / BUT WITH A INVERTER DEPENDING ON SIZE YOU CAN BUY A CHEAP MICROWAVE FROM ASDA / TESCO £40 ISH AND ALSO USE LAPTOP /TV /GAMES CONSOLE AND SO ON . REMEMBER THE BIGGER THE INVERTER SUCH AS 2000 WATT YOU WILL HAVE TO WIRE DIRECT FROM THE BATTERIES SO THIS DOES INCURR EXTRA EXPENSE YOU NEED TO USE 25MM BATTERY CABLE ALSO MAKE SURE YOU FUSE THE POWER SUPPLY AT THE BATTERY HOPE THIS HELPS