Simplify $\frac { 4 + 3 i } { 5 + 2 i }$ and write the answer in standard form.
A) $- \frac { 26 } { 29 } + \frac { 7 } { 29 } i$
B) $\frac { 26 } { 29 } - \frac { 7 } { 29 } i$
C) $\frac { 26 } { 29 } + \frac { 7 } { 29 } i$
D) $\frac { 7 } { 29 } + \frac { 26 } { 29 } i$
E) $\frac { 7 } { 29 } - \frac { 26 } { 29 } i$

Question

Quizplus · Accepted Answer

To simplify, we multiply the numerator and denominator by the conjugate of the denominator: $$\frac { 4 + 3 i } { 5 + 2 i } \cdot \frac { 5 - 2 i } { 5 - 2 i } = \frac { 26 } { 29 } + \frac { 7 } { 29 } i$$ Therefore, the answer is $\boxed{\textbf{(C)}}$.

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Simplify $\frac { 4 + 3 i } { 5 + 2 i }$