Abstract: A ring spun yarn having good core cohesiveness, and complete sheath covering, the sheath comprising first fibers, such as cotton, and the core comprising second fibers having distinctly different properties than the first fibers, such as polyester, is produced. A sliver of first fibers and a roving of second fibers are fed to a drafting apparatus so that the roving is at the exact center line of, and on top of, the sliver. The roving and sliver are passed together through the rear rolls, apron, and front rolls of the drafting apparatus to produce a drafted composite sliver. Twist is imparted mechanically to the drafted composite sliver to produce a roving having a core and sheath. Then the roving is further drafted and twist is mechanically imparted thereto, producing a final core/sheath yarn.