Included is a woven fabric having warp yarns and weft yarns. Either warp yarn or weft yarn or both warp and weft yarns have two separate systems of yarns. The systems of yarns include a hard yarn forming the main body of fabric and a composite covered elastic yarn with an elastic fiber core; wherein the fabric has an outer face side, a back side, and the fabric includes at least one of: (a) a weaving pattern where the composite yarn and at least one adjacent hard yarn pass over the same pick when the composite yarn is on the outer surface; (b) the ratio of hard yarn denier to composite yarn denier is at least 1:1; and (c) the composite yarn floats over no more than 5 picks on the outer face side.