How do you simplify #(2 + i) / ( 5- i )#? Precalculus Complex Numbers in Trigonometric Form Division of Complex Numbers 1 Answer VinÃcius Ferraz Dec 13, 2015 #frac{9 + 7i}{24}# Explanation: #(a +i)/(b - i) * (b + i)/(b + i) = frac{ab + ai + bi -1}{b^2 + 1}# 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 1165 views around the world You can reuse this answer Creative Commons License