Step 1: ZnS concentrated by froth flotation. Roasting converts ZnS to ZnO (X = Roasting). ZnO reduced by coke to Zn, purified by fractional distillation (Y = Fractional distillation).
Step 2: Write the final answer. \(\boxed{X=\text{Roasting},\qquad Y=\text{Fractional distillation}}\)