解:已知x分之1+y分之1=5,得xy分之y+xy分之x=5xy分之(y+x)=5得x+y=5xy得(3x-5xy+3y)÷(x+xy+y)=[(3x+3y)-5xy]÷[(x+y)+xy]=[(x+y)×3-5xy]÷[(x+y)+xy]=(5xy×3-5xy)÷(5xy+xy)=(15xy-5xy)÷6xy=10xy÷6xy=3分之5即已知x分之1+y分之1=5,则(3x-5xy+3y)÷(x+xy+y)=3分之5.