I am rewriting this quotient into the form (a + bi), but i am stuck in the signs of the imaginary and the real number parts.

I have : (3 + 5i)/(6i)

I did multiply this fraction by (6i) for both of Numerator and Denominator. As a result, i had ( (-1/2)i + 5/6 ).

But computer's answer is opposite to my answer 's signs. He got ( (1/2)i - 5/6 ).

I would like to ask where are my mistakes ?