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

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) $\frac { 9 } { 2 }$