Simplify $\frac { - 4 - 4 i } { 5 i }$ and write the answer in standard form.
A) $\frac { 4 } { 5 } + \frac { 4 i } { 5 }$
B) $- \frac { 4 } { 5 } + \frac { 4 i } { 5 }$
C) $- \frac { 4 } { 5 } - \frac { 4 i } { 5 }$.
D) $- \frac { 4 } { 5 } - \frac { 4 i } { 5 }$
E) $\frac { 4 } { 5 } - \frac { 4 i } { 5 }$.

Question

Quizplus · Accepted Answer

To simplify $\frac{-4 - 4i}{5i}$, first distribute the denominator: $\frac{-4}{5i} - \frac{4i}{5i}$. Simplifying each term gives $-\frac{4}{5i} - \frac{4}{5}$. To remove the $i$ from the denominator in the first term, multiply numerator and denominator by $i$, yielding $\frac{-4i}{-5} - \frac{4}{5}$, which simplifies to $-\frac{4}{5} + \frac{4i}{5}$.

Simplify −4−4i5i\frac { - 4 - 4 i } { 5 i }5i−4−4i​

Simplify $\frac { - 4 - 4 i } { 5 i }$