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Which comparifon is correct? \( \begin{array}{l}\frac{3}{2}<\frac{1}{3} \\ \frac{3}{8}>\frac{1}{6} \\ \frac{11}{6}<\frac{3}{4} \\ \frac{3}{5}=\frac{5}{8}\end{array} \)

Ask by Morgan Mann. in the United Arab Emirates
Nov 08,2024

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Answer

The correct comparison is \(\frac{3}{8} > \frac{1}{6}\).

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Let's break down each comparison! First off, the comparison \( \frac{3}{2} < \frac{1}{3} \) is incorrect because \( \frac{3}{2} = 1.5 \) which is greater than \( \frac{1}{3} \) or approximately 0.33. Next, \( \frac{3}{8} > \frac{1}{6} \) is indeed correct since \( \frac{3}{8} \approx 0.375 \) is greater than \( \frac{1}{6} \) which is roughly 0.1667. For \( \frac{11}{6} < \frac{3}{4} \), this is also incorrect because \( \frac{11}{6} \approx 1.8333\) is greater than \( \frac{3}{4} = 0.75\). Lastly, \( \frac{3}{5} = \frac{5}{8} \) is false since \( \frac{3}{5} = 0.6\) and \( \frac{5}{8} = 0.625.\) So, the only correct statement from your comparison list is \( \frac{3}{8} > \frac{1}{6}. \)

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