What is 0.96 repeting as a fraction?

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1073033

2026-04-18 15:15

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To convert the repeating decimal 0.96 (with the 96 repeating) into a fraction, let ( x = 0.969696...). Multiplying both sides by 100 gives ( 100x = 96.969696...). Subtracting the original equation from this one results in ( 99x = 96 ), leading to ( x = \frac{96}{99} ). Simplifying this fraction gives ( x = \frac{32}{33} ). Therefore, 0.96 repeating as a fraction is ( \frac{32}{33} ).

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