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Source: 2019 AMC 8 #3

November 19, 2019
AMC 8

Problem Statement

Which of the following is the correct order of the fractions 1511,1915\frac{15}{11}, \frac{19}{15}, and 1713\frac{17}{13}, from least to greatest?
<spanclass=′latex−bold′>(A)</span>1511<1713<1915<spanclass=′latex−bold′>(B)</span>1511<1915<1713<spanclass=′latex−bold′>(C)</span>1713<1915<1511<spanclass=′latex−bold′>(D)</span>1915<1511<1713<spanclass=′latex−bold′>(E)</span>1915<1713<1511<span class='latex-bold'>(A) </span> \frac{15}{11} < \frac{17}{13} < \frac{19}{15} \qquad<span class='latex-bold'>(B) </span> \frac{15}{11} < \frac{19}{15} < \frac{17}{13} \qquad<span class='latex-bold'>(C) </span> \frac{17}{13} < \frac{19}{15} < \frac{15}{11} \newline\newline \qquad<span class='latex-bold'>(D) </span> \frac{19}{15} < \frac{15}{11} < \frac{17}{13} \qquad<span class='latex-bold'>(E) </span> \frac{19}{15} < \frac{17}{13} < \frac{15}{11}
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