A biochemical engineering framework for optimizing the design and operation of fractional protein precipitation has been developed. The method utilizes a fractionation diagram to represent the purification of a product protein relative to total contaminating protein. The purification factor for a single or double-cut fractional precipitation is obtained as the gradient of an appropriate operating tie-line. A computer algorithm has been devised to maximize the tie-line gradient for a given yield enabling a plot of optimum purification factor versus yield to be constructed. The recovery of the enzyme alcohol dehydrogenase from clarified bakers homogenate using saturated ammonium sulphate has been examined. Fractionation and purification versus yield diagrams were used to investigate the effects of such process parameters as pH, temperature, and initial total protein concentration on fractionation efficiency. The results are discussed in terms of the underlying solubility and mixing phenomena and the industrial application of fractional precipitation.