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Recurring decimal to fraction

Authors
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    Name
    Vu Hung
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Problem Statement

Convert each to a fraction:

0.2,0.2˙,0.12˙.0.2,\qquad 0.\dot{2},\qquad 0.1\dot{2}.

Hints

Use place value for terminating decimals and GP ideas for recurring decimals.

Solutions

0.2=15,0.2˙=29,0.12˙=1190.0.2=\frac15,\qquad 0.\dot{2}=\frac29,\qquad 0.1\dot{2}=\frac{11}{90}.

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