For this you need the reaction. Carbonates on heating liberate the oxide of the metal and carbon dioxide.
Ag2CO3 -----> Ag2O + CO2
As carbon dioxide escapes in gaseous form, the residue is the oxide of silver. From the reaction equation, we see that 1 mol of silver carbonate gives a residue of 1 mol oxide.
So find how many mols of carbonate 2.76 gm is. Let it be 'a' mols.
Now 1 mol of carbonate gives 1 mol of oxide.
=> 'a' mol of carbonate gives 'a' mol of oxide.
Now you have the molar mass of Ag2O and the number of mols as well. So to find the actual weight in grams,
Weight = Molar Mass * Number of mols. = Molar Mass * 'a' grams which is your answer.