Provide an Appropriate Response $.5505050$ to a Fraction by Writing It as the Infinite

Multiple Choice

Provide an appropriate response.
-Convert the decimal $.5505050$ . . . to a fraction by writing it as the infinite series $\frac { 5 } { 10 } + \frac { 50 } { 10 \cdot 100 } + \frac { 50 } { 10 \cdot 100 ^ { 2 } } + \frac { 50 } { 10 \cdot 100 ^ { 3 } } + \ldots$

A) $0.54445554$
B) $0.545$
C) $0.54554555$
D) $0.55050505$