Lithium sulfate is Li2SO4
Strontium chlorate is Sr(ClO3)2
Strontium sulfate is SrSO4
So the complete balanced chemical reaction for this is:
Li2SO4 (aq) + Sr(ClO3)2 (aq) --> SrSO4 (s) + 2 LiClO3 (aq)
This is a type of double replacement reaction since there is an exchange of ions.