Simplify by Rationalizing the Denominator $\frac { 9 + 8 i } { 5 - 4 i }$

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 9 + 8 i } { 5 - 4 i }$

A) $\frac { 13 } { 9 }$
B) $\frac { 77 } { 41 } - \frac { 4 } { 41 } \mathrm { i }$
C) $\frac { 77 } { 9 } - \frac { 76 } { 9 } \mathrm { i }$
D) $\frac { 13 } { 41 } + \frac { 76 } { 41 } \mathrm { i }$