2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136967We give (1) an upper bound on the denominators of numerical boundary slopes and (2) an upper bound on the differences between two numerical boundary slopes, for Montesinos knot exteriors.33 pages, 9 embedded figures; v2:Changes to introduction and other minor changes; v3:a minor changeGeometric Topology57M50 (Primary) 57M25 (Secondary)text