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What is the difference between 2/3 and the repeating decimal 0.393939... ?
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if \[x=.\overline{39}\] then \[100x=39.\overline{39}\] so \[100x-x=39\] =>\[99x=39\] =>\[x=\frac{39}{99}=\frac{13}{33}\]
the difference is 2/3-13/33=22/33-13/33=9/33=3/11
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