How do you simplify #(2-i)/(4+i)#? Precalculus Complex Numbers in Trigonometric Form Division of Complex Numbers 1 Answer Konstantinos Michailidis Jan 3, 2016 It is #(2-i)/(4+i)=((2-i)*(4-i))/((4+i)*(4-i))=7/17-6/17*i# You multiply and divide with conjugate of the denominator.. Answer link Related questions How do I graphically divide complex numbers? How do I divide complex numbers in standard form? How do I find the quotient of two complex numbers in polar form? How do I find the quotient #(-5+i)/(-7+i)#? How do I find the quotient of two complex numbers in standard form? What is the complex conjugate of a complex number? How do I find the complex conjugate of #12/(5i)#? How do I rationalize the denominator of a complex quotient? How do I divide #6(cos^circ 60+i\ sin60^circ)# by #3(cos^circ 90+i\ sin90^circ)#? How do you write #(-2i) / (4-2i)# in the "a+bi" form? See all questions in Division of Complex Numbers Impact of this question 3680 views around the world You can reuse this answer Creative Commons License