How do you make 0.06 repeated into a fraction?

To convert the repeating decimal 0.06 repeated (0.060606...) into a fraction, let ( x = 0.060606... ). Multiplying both sides by 100 gives ( 100x = 6.060606... ). Subtracting the original equation from this, we have ( 100x - x = 6 ), leading to ( 99x = 6 ). Thus, ( x = \frac{6}{99} ), which simplifies to ( \frac{2}{33} ).