Of the following, which is least?

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GMAT Panda · Accepted Answer

The least value is 0.03/7.1, which is option E We apply ("Chain Rule for Inequalities") to note that the denominators increase in the following order 0.00071<0.0071<0.071<0.71<7.1 We observe that with the same positive numerator, a larger denominator gives a smaller fraction 0.03/0.00071>0.03/0.0071>0.03/0.071>0.03/0.71>0.03/7.1 We see that the fraction with the largest denominator is the smallest 0.03/7.1 (Option E)

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$We apply ("Chain Rule for Inequalities") to note that the denominators increase in the following order$	$0.00071 < 0.0071 < 0.071 < 0.71 < 7.1$
$We observe that with the same positive numerator, a larger denominator gives a smaller fraction$	$\frac{0.03}{0.00071} > \frac{0.03}{0.0071} > \frac{0.03}{0.071} > \frac{0.03}{0.71} > \frac{0.03}{7.1}$
$We see that the fraction with the largest denominator is the smallest$	$\frac{0.03}{7.1} (Option E)$

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