$A$ certain $12$-hour digital clock displays the hour and the minute of a day. Due to a defect in the clock,whenever the digit $1$ is supposed to be displayed,it displays $7$. What fraction of the day will the clock show the correct time?

  • A
    $\frac{1}{2}$
  • B
    $\frac{5}{8}$
  • C
    $\frac{3}{4}$
  • D
    $\frac{5}{6}$

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