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.

LeoIsTheBest Jul 4, 2019

#2**+2 **

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

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

.Rom Jul 5, 2019