The calculated distance (air line) between Frankfurt am Main and Ars-sur-Moselle is approximately 137 miles respectively 221 kilometers.
By car or train, the actual journey to Ars-sur-Moselle is certainly longer, as only the direct route (as the crow flies) between Frankfurt am Main and Ars-sur-Moselle has been calculated here.
Air line (approximately)
221 kilometers
119 nautical miles