Perform the Indicated Operation $\frac { 4 } { 4 + i }$

Multiple Choice

Perform the indicated operation. Write the result in the form a + bi.
- $\frac { 4 } { 4 + i }$

A) $\frac { 16 } { 15 } - \frac { 4 } { 15 } \mathrm { i }$
B) $\frac { 16 } { 15 } + \frac { 4 } { 15 } \mathrm { i }$
C) $\frac { 16 } { 17 } - \frac { 4 } { 17 } \mathrm { i }$
D) $\frac { 16 } { 17 } + \frac { 4 } { 17 } \mathrm { i }$