Provide an Appropriate Response $.100100100 \ldots$ To a Fraction by Writing It as the Infinite Series

Multiple Choice

Provide an appropriate response.
-Convert the decimal $.100100100 \ldots$ to a fraction by writing it as the infinite series $\frac { 100 } { 1000 } + \frac { 100 } { 1000 ^ { 2 } } + \frac { 100 } { 1000 ^ { 3 } } + \ldots$

A) $0.099$

B) $\frac { 100 } { 999 }$

C) $0.1011011$

D) $0.101$