Question

I NEED THE ANSWER FOR THIS TEST PLEASE Simplify -5+i/2i Show work

Answer 1

$\dfrac{-5+i}{2i}=\dfrac{-5+i}{2i}\cdot\dfrac{i}{i}=\dfrac{-5i+i^2}{2i^2}=\dfrac{-5i-1}{2(-1)}=\dfrac{5i+1}{2}=\dfrac{1}{2}+\dfrac{5}{2}i$