Final answer:
The reaction is a precipitation reaction, where BaCO3 is the insoluble precipitate formed, and NaC2H3O2 stays in solution.
Step-by-step explanation:
The reaction represented by the equation Ba(C2H3O2)2(aq) + Na2CO3(aq) → BaCO3(s) + 2 NaC2H3O2(aq) is best classified as a precipitation reaction. In this type of reaction, two soluble salts in aqueous solution react to form one insoluble product, known as a precipitate, and another soluble salt. In this case, BaCO3 is the precipitate that forms, and NaC2H3O2 remains in solution.