I think you're on the right track.
As a result of forming an azeotropic mixture, it cannot be completely separated by fractional distillation
When you fractionally distill a mixture, if the mixture becomes either higher in BP than the one of the constituents or lower in BP, it is now an azeotropic mixture.
As you boil a mixture, if the 2 solvents can reach an azeotropic mixture, then as you distill the mixture, the distillate will reach closer in composition to the azeotropic mixture than what you started with.