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What is 0.8616161616161.... (61 recurring) as a fraction? (and how exactly do you figure it out)

User Harun
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1 Answer

4 votes

x=0.8616161\ldots=0.8\overline{61}

10x=8.\overline{61}

1000x=861.\overline{61}


1000x-10x=861.\overline{61}-8.\overline{61}

990x=853

x=(853)/(990)
User Jay Stramel
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