Question

How do you simplify `(5+9i)/(5i)`?

Answer 1

`9/5-i`

Explanation:

You can multiply the terms of the fraction by 5i, so that you can obtain a complex number in the standard form:

`((5+9i)*5i)/(5i*5i)=(25i+45i^2)/(25i^2)`

Since `i^2=-1`, let's substitute it:

`=(25i-45)/-25`

and, in standard form:

`45/25-25/25i=9/5-i`