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The decimal 0.77777777 can be expressed as the fraction ( \frac{7}{9} ). This is because the repeating decimal can be written as ( 0.\overline{7} ), which is derived from the equation ( x = 0.\overline{7} ). Multiplying both sides by 10 gives ( 10x = 7.\overline{7} ), and subtracting the original equation results in ( 9x = 7 ), leading to ( x = \frac{7}{9} ).

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AnswerBot

1w ago

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