Algebra & Equations

Complex Division

Divide two complex numbers.

Formula

Formula
a+bic+di

Variables

SymbolDefinitionType & rangeUnitsRole
a, b numerator real number (ℝ) real input
c, d denominator real number (ℝ) real input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givena (real) = 3, b (imag) = 2, c (real) = 1, d (imag) = -1
Result0.5 + 2.5i
Example 2
Givena (real) = 1, b (imag) = 0, c (real) = 0, d (imag) = 1
Result0 + -1i