Question

How do you divide `(1+3i )/( 2+2i)`?

Answer 1

`(1+3i)/(2+2i) = 1+1/2i`

Explanation:

Multiply numerator and denominator by the Complex conjugate of the numerator first:

`(1+3i)/(2+2i) = ((1+3i)(2-2i))/((2+2i)(2-2i))=(8+4i)/8 = 1+1/2i`