What is 0.96 repeting as a fraction?

Answer 1

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} ).