Answer
5$\frac{1}{2}$ mi
Work Step by Step
Given that the recreational hiker walks a trail with sign that indicate following distances 1$\frac{1}{2}$ mi, 2$\frac{3}{4}$ mi, $\frac{3}{4}$ mi, $\frac{1}{2}$ mi
total distance = 1$\frac{1}{2}$ mi + 2$\frac{3}{4}$ mi + $\frac{3}{4}$ mi + $\frac{1}{2}$ mi
=$\frac{3}{2}$ + $\frac{11}{4}$ + $\frac{3}{4}$ + $\frac{1}{2}$
=$\frac{4}{2}$ + $\frac{14}{4}$
=$\frac{4}{2}$ + $\frac{7}{2}$
=$\frac{11}{2}$
=5$\frac{1}{2}$ mi