Fuzzy set theory has been applied on different important fields, such as managements, operations research, and control theory. In this paper, we provided a new algorithm to solving a fuzzy fractional linear programming problem (FFlPP) in full fuzzy environments. All the variables and coefficients of both the constraints and the objective function are symmetric trapezoidal fuzzy numbers. The fuzzy linear fractional programming problem (FLFP) has been switched to fuzzy linear programming (FLP) problems, where both of constraint and objective function involve fuzzy numbers as variables and coefficients. Further, using the fuzzy simplex method algorithm to get an optimal fuzzy solution. Finally, we provide illustrative numerical examples.