Answer
Total number of proper subsets are = 16 - 1 = 15
Work Step by Step
{\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5}}
A set of n elements have 2^{n} number of subsets.
Here set has 4 elements. So total number of subsets sre 2^{4}=16
As these 16 subsets also include the one subset which is the set itself. We need to exclude this one subset.
Thus Total number of proper subsets are = 16 - 1 = 15.