A particular 12-hour digital clock displays the hour and minute of a day. Unfortunately, whenever it is supposed to display a 1, it mistakenly displays a 9. For example, when it is 1:16 PM the clock incorrectly shows 9:96 PM. What fraction of the day will the clock show the correct time?

**Answer Choices**

A. \dfrac{1}{2}

B. \dfrac{5}{8}

C. \dfrac{3}{4}

D. \dfrac{5}{6}

E. \dfrac{9}{10}