Let w and z be two complex numbers such that w = a + ib and z = A + iB. The division of w by z is based on multiplying numerator and denominator by the complex conjugate of the denominator:
w / z = (a + ib) / (A + iB)
= (a + ib)(A - iB) / (A + iB)(A - iB)
= [ a A + b B + i(b A - a B) ] / [A 2 + B 2]
= ( a A + b B )/ [A 2 + B 2] + i (b A - a B) / [A 2 + B 2]
Divide Complex Numbers Calculator
Enter the real and imaginary parts (as an integer, a decimal or a fraction) of two complex numbers z and w and press "Divide".
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