The Repeating Decimal $0 . \overline { 2 }$ Is Expressed as a Geometric Series

question 14

Multiple Choice

The repeating decimal $0 . \overline { 2 }$ is expressed as a geometric series $0.2 + 0.02 + 0.002 + 0.0002 + \ldots$ . Write the decimal $0 . \overline { 2 }$ as the ratio of two integers.

• A) \(\frac { 2 } { 99 }\)
• B) \(\frac { 7 } { 33 }\)
• C) \(\frac { 2 } { 9 }\)
• D) \(\frac { 5 } { 11 }\)
• E) \(\frac { 9 } { 2 }\)

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