Katie is measuring two line segments. One extends from the $2\frac{3}{4}$-inch mark on her ruler to the $4\frac{1}{8}$-inch mark. The other extends from the $1\frac{1}{2}$-inch mark on the ruler to the $3\frac{1}{8}$-inch mark. How long is each piece? Which piece is longer? How much longer is it?