2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72340This paper presents a new family of almost identities. These are based on series that sum to elements close to either rationals or rational multiples of pi. The explanation of the phenomenon takes its roots in the theory of Mellin transforms.11 pages, typos and errors correctedGeneral Mathematics40A25; 44A15text