Balanced chemical reaction:
3K₂SO₄(aq) + Ca₃(PO₄)₂(s) → 2K₃PO₄(aq) + 3CaSO₄(s).
Ionic reaction:
6K⁺(aq) + 3SO₄²⁻(aq) + Ca₃(PO₄)₂(s) → 6K⁺(aq) + 2PO₄³⁻(aq) + 3CaSO₄(s).
Net ionic reaction: 3SO₄²⁻(aq) + Ca₃(PO₄)₂(s) → 2PO₄³⁻(aq) + 3CaSO₄(s).
aq(aqueous) means dissolved in water.
s(solid) means that salt not dissolved in water.
This chemical reaction is double displacement reaction - cations and anions of the two reactants switch places and form two new compounds.