In this paper we begin to classify fiberedness of "Almost-Montesinos" knots, a
generalization of Montesinos knots. We employ the method used in the
classification of fiberedness of Montesinos knots due to Hirasawa and Murasugi. To
achieve this classification, we find minimal-genus surfaces of "skew pretzel links" (a
generalization of pretzel links) via sutured manifold decompositions, following
Gabai's method for pretzel links. We end by stating three remaining cases.Mathematic
