{"status": "success", "data": {"description_md": "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?\n\n$\\textbf{(A)}\\ \\frac12\\qquad \\textbf{(B)}\\ \\frac58\\qquad \\textbf{(C)}\\ \\frac34\\qquad \\textbf{(D)}\\ \\frac56\\qquad \\textbf{(E)}\\ \\frac {9}{10}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A particular  <span class=\"katex--inline\">12</span> -hour digital clock displays the hour and minute of a day. Unfortunately, whenever it is supposed to display a  <span class=\"katex--inline\">1</span> , it mistakenly displays a  <span class=\"katex--inline\">9</span> . 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?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac12\\qquad \\textbf{(B)}\\ \\frac58\\qquad \\textbf{(C)}\\ \\frac34\\qquad \\textbf{(D)}\\ \\frac56\\qquad \\textbf{(E)}\\ \\frac {9}{10}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2009 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p11", "prev": "/problem/09_amc12B_p09"}}