the children of both parents,” according to the detail mentioned above. If no fixed-share heir is present with them, the grandfather’s share is whichever is greater: sharing equally with the siblings or one-third of the entire estate. If a fixed-share heir is present with them, then, after that heir has taken his share, the grandfather’s entitlement is whichever is greater: one-third of the remainder, one-sixth of the estate, or sharing equally with the siblings.

“If they are together and share with him, the residuary heirs among the children of both parents take what is in the hands of the children of the father; their female takes her full prescribed share, and whatever remains goes to the children of the father.”

His statement, “If they are together and share with him, the residuary heirs among the children of both parents take what is in the hands of the children of the father,” means: if they are together—i.e., the children of both parents are present, such that there are full siblings and paternal siblings—and “they share with him,” the author, may Allah have mercy on him, informs us that when they are together, they share with the grandfather as though they were all full siblings. Once they have shared with him and he has taken his portion, the full siblings then turn to the paternal siblings and divide with them as though the deceased had died leaving them alone.

For example, a deceased person leaves behind a grandfather, one full brother, and two paternal brothers. In this case, the grandfather’s share is one-third. Thereafter, we treat the matter as though the deceased had died leaving one full brother and two paternal brothers. The inheritance then belongs to the full brother, while the two paternal brothers are excluded. Thus, in this case, the full brother receives two shares and the grandfather one share.

His statement, “Their female takes her full prescribed share, and whatever remains goes to the children of the father,” means that a female among the full siblings takes the completion of her prescribed share, and whatever remains belongs to the children of the father. If there are two full sisters, they take the completion of the prescribed share, and whatever remains belongs to the children of the father. However, with two full sisters, it is not possible for anything to remain for the paternal siblings, because the two sisters inherit two-thirds and the grandfather takes one-third, leaving nothing. This situation is conceivable only with one full sister.