Find the quotient. Write the answer in standard form.
-$\frac { 3 } { 5 \mathrm { i } }$
A) $\frac { 3 } { 5 } \mathrm { i }$
B) $\frac { 3 } { 5 }$
C) $- \frac { 3 } { 5 } i$
D) $- \frac { 3 } { 5 }$

Question

Quizplus · Accepted Answer

To divide by a complex number, you multiply the numerator and denominator by the complex conjugate of the denominator. The complex conjugate of $5i$ is $-5i$, so multiplying both the numerator and denominator by $-5i$ gives $\frac{3}{5i} \cdot \frac{-5i}{-5i} = \frac{-15i}{-25} = \frac{3}{5}i$, which is option C.

Find the Quotient 35i\frac { 3 } { 5 \mathrm { i } }5i3​

Find the Quotient $\frac { 3 } { 5 \mathrm { i } }$