1. Grandfather with one sister: in this scenario he is entitled to two-thirds of the estate.
2. Grandfather with one brother: in this scenario he receives one-half of the estate.
3. Grandfather with two sisters: in this scenario he likewise receives one-half, which is more than one-third.
4. Grandfather with three sisters: in this scenario he is entitled to two-fifths, which is still greater than one-third, for the common denominator of the two fractions is fifteen—one-third equals five fifteenths, whereas two-fifths equals six fifteenths, one more than five.
5. Grandfather with one brother and one sister: in this scenario he receives the same share as in the preceding case.

Second situation: the equal-division method (muqāsama) and taking one-third of the estate yield exactly the same result for him.

The criterion here is that the number of siblings equals twice his own, and this occurs in three specific scenarios:

1. Grandfather with two brothers.
2. Grandfather with one brother and two sisters.
3. Grandfather with four sisters.

In each of these cases, whether he divides by muqāsama or simply takes one-third, his share is identical. Should he opt for muqāsama, he takes one-third; if he does not, the outcome is the same.

Scholars have differed: should this be treated as muqāsama, making his inheritance agnatic (taʿṣīb); should it be described as one-third, rendering his share a fixed allotment (farḍ); or may he be given the choice to express it either way?