Divide Complex Numbers
Divide Complex Numbers: calculate results from explicit inputs, with a formula and worked example.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system.
Example Calculation
- First real part: 3
- First imaginary part: 4
- Second real part: 1
- Second imaginary part: -2
(3+4i)/(1−2i) = −1+2i.
Method references
Frequently asked questions
How do I use this calculator?
Enter first real part, first imaginary part, second real part, second imaginary part. The result updates automatically. Use Reset to restore the example values.
What method does it use?
(a+bi)/(c+di) = [(ac+bd)+(bc−ad)i]/(c²+d²). Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.