Explain the floating and fixed fastener formulas in GD&T and derive the position tolerance for a floating fastener application?

For floating fasteners (fastener passes through clearance holes in both parts), the formula is: T = (H - F) where T is the position tolerance for each part, H is the MMC hole diameter, and F is the MMC fastener diameter. The total positional tolerance is split equally between parts. For fixed fasteners (one part has threaded hole), T = (H - F)/2 for the clearance hole, as only one part contributes to positional variation. These formulas assume worst-case alignment and MMC modifier application for both position tolerances.