If a precipitation reaction occurs when a solution of one species is added to a solution of the other, enter the formula, including the state, of the soluble product. If there is no reaction, enter the formula and state of all ions in solution, separate by comma.

CaBr2(aq) + Li2CO3(aq) →

To determine whether a precipitation reaction occurs between CaBr2(aq) and Li2CO3(aq), we need to examine the solubility of the potential products.

First, let's break down the compounds into their respective ions:
CaBr2(aq) dissociates into Ca2+(aq) and 2 Br-(aq).
Li2CO3(aq) dissociates into 2 Li+(aq) and CO32-(aq).

Next, we need to check if any of the possible combinations of ions will form an insoluble compound, which would result in a precipitation reaction.

Looking at the combinations of ions, we have:
Ca2+(aq) + 2 Li+(aq) + 2 Br-(aq) + CO32-(aq)

By analyzing the solubility rules, we can determine that CaCO3 is insoluble while LiBr is soluble.

Therefore, the only insoluble compound formed is CaCO3(s), which means a precipitation reaction occurs. The soluble product formed is LiBr(aq).

Hence, the balanced equation for the precipitation reaction is:
CaBr2(aq) + Li2CO3(aq) → CaCO3(s) + 2 LiBr(aq)