Real state cloning is an important part of quantum cloning. However, for obtaining the optimal asymmetric real state cloning by using the method of optimizing the fidelity directly, the mathematical operation process is very cumbersome, and the results are not so simple and clear. For this reason, the method of coordinate system rotation transformation is introduced. Based on rotation transformation of the coordinate system, a real state cloning in the original coordinate system will become a well-known phase-covariant cloning in the new coordinate system. According to representation transformation, the optimization of asymmetric real state cloning can be realized easily in the original coordinate system by comparison with optimized asymmetric phase covariant cloning, that is, a set of coefficients for the optimized asymmetric real state clone transformation can be obtained. It is shown that using the method to optimize asymmetric real state cloning, the idea of processing operation is clear, and the optimization result is symmetrical, neat, and concise. In addition, the specific relationships between different coefficients of the optimized asymmetric real state clone can be obtained explicitly.