 In this video, we provide the solution to question number four for the practice final exam from math 1050, we're given the expression 2 over 2 minus i. This is a complex quotient. We want to compute the quotient and write in the standard form a plus bi. So what we're going to do is we're going to multiply the top and bottom of the fraction by the conjugate complex conjugate of its denominator. So the original denominator being 2 minus i its conjugate is going to be 2 plus i. In the numerator, we do have to foil it out. Now since the original numerator was just a constant, we would distribute the 2 ending up with 4 plus 2i. In the denominator, since you have a complex number times its conjugate, that product always becomes a sum of squares. You get 2 squared, which is 4, and then 1 squared, which is 1. And so this would then simplify to be 4 over 5. That's the real part. And then you're going to get 2 over 5i as the imaginary part. And so we see that the correct answer would be choice A.