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# What is the median of the distinct positive values...

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What is the median of the distinct positive values of all of the fractions less than or equal to 1 with positive integer denominators less than or equal to 5? Express your answer as a common fraction.

Jul 4, 2019

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Jul 4, 2019
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$$\text{We're talking about the set of numbers}\\ \Large \frac{1}{5},\frac{1}{4},\frac{1}{3},\frac{2}{5},\frac{1}{2},\frac{3}{5},\frac{2}{3},\frac{3}{4},\frac{4}{5},1$$

$$\text{There are ten of them so we have to take the average of the middle two}\\ \text{This is the average of \dfrac 1 2 and \dfrac 3 5 which is \dfrac{11}{20}}$$

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Jul 5, 2019