The calculated distance (air line) between Frankfurt am Main and Sainte-Marie-aux-Mines is approximately 146 miles respectively 235 kilometers.
By car or train, the actual journey to Sainte-Marie-aux-Mines is certainly longer, as only the direct route (as the crow flies) between Frankfurt am Main and Sainte-Marie-aux-Mines has been calculated here.
Air line (approximately)
235 kilometers
127 nautical miles