{"status": "success", "data": {"description_md": "Suppose that $a$ and $b$ are digits, not both nine and not both zero, and the repeating decimal $0.\\overline{ab}$ is expressed as a fraction in lowest terms. How many different denominators are possible?\n\n$\\text{(A) }3<br>\\qquad<br>\\text{(B) }4<br>\\qquad<br>\\text{(C) }5<br>\\qquad<br>\\text{(D) }8<br>\\qquad<br>\\text{(E) }9$\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>Suppose that  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  are digits, not both nine and not both zero, and the repeating decimal  <span class=\"katex--inline\">0.\\overline{ab}</span>  is expressed as a fraction in lowest terms. How many different denominators are possible?</p>&#10;<p> <span class=\"katex--inline\">\\text{(A) }3\\qquad\\text{(B) }4\\qquad\\text{(C) }5\\qquad\\text{(D) }8\\qquad\\text{(E) }9</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": 3, "problem_name": "2002 AMC 12A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p21", "prev": "/problem/02_amc12A_p19"}}