Answer
$142^\circ30'$
Work Step by Step
1. There are $360^\circ$ in a circle with 12 divisions and each division equals to $\frac{360^\circ}{12}=30^\circ$
2. The smaller angle formed by the hands contains $4\frac{3}{4}=\frac{19}{4}$ divisions, thus the angle is $\frac{19}{4}\times30^\circ=142.5^\circ=142^\circ30'$