Our goal in simplifying fractions, or quotients with complex numbers is to re-write the quotient with no imaginary terms in the denominator. If the bottom of a fraction is a monomial with an "i," you can simply multiply the top and bottom by "i," which is just multiplying by one. You will most likely end with an imaginary term in the numerator, but that is a more proper form than an imaginary term in the denominator.
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