Simplify $\frac { 4 + 3 i } { 5 + 6 i }$

question 105

Multiple Choice

Simplify $\frac { 4 + 3 i } { 5 + 6 i }$ and write the answer in standard form.

• A) \(- \frac { 38 } { 61 } - \frac { 9 } { 61 } i\)
• B) \(\frac { 38 } { 61 } + \frac { 9 } { 61 } i\)
• C) \(\frac { 38 } { 61 } - \frac { 9 } { 61 } i\)
• D) \(- \frac { 9 } { 61 } + \frac { 38 } { 61 } i\)
• E) \(- \frac { 9 } { 61 } - \frac { 38 } { 61 } i\)

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