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18-10-2018
Mathematics

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convert 7.23 (3 reapting) to a fraction

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konrad509 konrad509

18-10-2018

[tex]x=7.2\overline{3}\\\\10x=72.\overline{3}\\\\100x=723.\overline{3}\\\\100x-10x=723.\overline{3}-72.\overline{3}\\\\90x=651\\\\x=\dfrac{651}{90}=\dfrac{217}{30}[/tex]

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