2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78516In this article, we prove that any Q-Calabi-Yau 3-fold with only ordinary terminal singularities and any Q-Fano 3-fold of Fano index 1 with only terminal singularities have Q-smoothings.To appear in J. Math. Sci. Univ. TokyoAlgebraic GeometryDeformations of Q-Calabi-Yau 3-folds and Q-Fano 3-folds of Fano index 1text