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

question 141

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) \(0.101\)

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