Provide an Appropriate Response $.8262626 \ldots$ To a Fraction by Writing It as the Infinite Series

question 11

Multiple Choice

Provide an appropriate response.
-Convert the decimal $.8262626 \ldots$ to a fraction by writing it as the infinite series
$$\frac { 8 } { 10 } + \frac { 26 } { 10 \cdot 100 } + \frac { 26 } { 10 \cdot 100 ^ { 2 } } + \frac { 26 } { 10 \cdot 100 ^ { 3 } } + \ldots$$

• A) \(0.81718282\)
• B) \(0.81881882\)
• C) \(0.818\)
• D) \(0.82626263\)

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