Question

How do you simplify `(-2-5i)/(3i)`?

Answer 1

Multiply by `i/i`, eliminating `i` from the denominator to find

`(-2-5i)/(3i)=-5/3+2/3i`

Explanation:

To remove the imaginary component from the denominator, we can multiply the numerator and the denominator by `i` and then simplify from there.

`(-2-5i)/(3i) = ((-2-5i)*i)/(3i*i)`

`=(-2i-5i^2)/(3i^2)`

`=(5-2i)/(-3)`

`=-5/3+2/3i`