{"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$\\text{(A) } \\frac 12\n\\qquad\n\\text{(B) } \\frac 58\n\\qquad\n\\text{(C) } \\frac 34\n\\qquad\n\\text{(D) } \\frac 56\n\\qquad\n\\text{(E) } \\frac 9{10}$", "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>\n<p> <span class=\"katex--inline\">\\text{(A) } \\frac 12\n\\qquad\n\\text{(B) } \\frac 58\n\\qquad\n\\text{(C) } \\frac 34\n\\qquad\n\\text{(D) } \\frac 56\n\\qquad\n\\text{(E) } \\frac 9{10}</span> </p>\n<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": 3, "problem_name": "2009 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10B_p20", "prev": "/problem/09_amc10B_p18"}}