Solve the Problem $0.15 \overline { 15 }$ As an Infinite Geometric Series and Use the Formula For an Infinite

Multiple Choice

Solve the problem.
-Write $0.15 \overline { 15 }$ as an infinite geometric series and use the formula for $\mathrm { S } _ { \infty }$ to write it as a rational number.

A) $\frac { 5 } { 33 }$
B) $\frac { 500 } { 33 }$
C) $\frac { 3 } { 200 }$
D) $\frac { 3 } { 20 }$