Divide Complex Numbers Calculator
MathDivide one complex number by another, in the form (a + bi) / (c + di).
Real Part of Result
The real part of the quotient (a+bi)/(c+di).
Imaginary Part of Result
-0.400000
The imaginary part of the quotient (a+bi)/(c+di).
Found this calculator useful?
From Scratch To $10K/Month In 60 Days
This is a proven money making system that takes students by the hand to make at least $10,000 per month, every month. Students get 12 weeks of guided coaching in addition to the "MPS Super Funnel" and tools.
We value your privacy and promise not to sell or misuse your information. Here's our privacy policy.
Calculator Stats
Creators
Odeh Ahwal0people find this calculator helpful
Views
Helpful
Saved
Embeds
Calculator Stats
Creators
Odeh Ahwal0people find this calculator helpful
Views
Helpful
Saved
Embeds
Math calculators
Frequently Asked Questions
How is complex number division calculated?
Multiply both the numerator and denominator by the conjugate of the denominator. This turns the denominator into a real number (c^2+d^2), since a complex number times its conjugate always cancels the imaginary part.
Why can't you divide by a complex number the same way as a real number?
A complex denominator would leave an imaginary part in the denominator, which isn't a valid final form. Multiplying by the conjugate clears it, giving a properly simplified a+bi result.
What if the divisor is 0 + 0i?
Division by zero is undefined, including for complex numbers, so a divisor of 0+0i has no valid result.
Spot a mistake? Tell us what's wrong.
Request a calculator. The most-requested ones get built first in our monthly batch.
Request a calculatorWant this calculator on your website?
Embed the Divide Complex Numbers Calculator on any site — no code needed. Customize colors, remove branding, and track usage.
