Respuesta :

9514 1404 393

Answer:

  17/99

Step-by-step explanation:

Replace the digits 23 in your example with the digits 17 and you have your answer:

  [tex]0.\overline{17}=\dfrac{17}{99}[/tex]

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In general, a 2-digit repeat will have 99 as its denominator. If the digits are a multiple of 3 or 11, then the fraction can be reduced. 17 is prime, so the fraction cannot be reduced.