Overall Equation – Shows reactants and products as undissociated, electrically neutral compounds.
Complete Ionic Equation – Shows the state of reactants and products as hydrated or other phases.
Ag+1(aq) + NO3-1(aq) + Na+1(aq) + Cl-1(aq)     Na+1(aq) + NO3-1(aq) + AgCl (s) 
AgNO3(aq)  +  NaCl(aq)       NaNO3(aq)  +  AgCl(s) 
Ionic Equations & Precipitation Reactions
Net Ionic Equation – Shows only the reactants and products that are directly involved in the reaction. 
Ag+1(aq) +   Cl-1(aq)      AgCl(s)