Two full sisters, two uterine sisters, and a mother: the case is based on six. The two full sisters receive two-thirds, or four; the two uterine sisters receive one-third, or two; and the mother receives one-sixth, or one. It is proportionally increased to seven.

It is proportionally increased to eight: two full sisters, a mother, and a husband. The case is based on six: the two full sisters receive two-thirds, or four; the mother receives one-sixth, or one; and the husband receives one-half, or three.

It is proportionally increased to nine: such as a husband, two full sisters, a mother, and a uterine brother. The case is based on six: the husband receives one-half, or three; the two full sisters receive two-thirds, or four; the mother receives one-sixth, or one; and the uterine brother receives one-sixth, or one. It is thus proportionally increased to nine. If another brother is added alongside him, the two receive one-third, and it is proportionally increased to ten. This is the highest degree of proportional increase—that is, it has increased by two-thirds. The one entitled to one-sixth then receives only one-tenth, while the one entitled to two-thirds receives only two-fifths. This is the least that the heirs may receive.

His statement, “A quarter together with two-thirds, a third, or a sixth is based on twelve”: a quarter together with two-thirds is based on twelve, because they cannot be divided without fractions except on the basis of twelve. The denominator of a quarter is four, and that of two-thirds is three; thus, the case is based on twelve.

An example is a deceased person who leaves a wife, two full sisters, and a paternal uncle. The case is based on twelve: the wife receives one-quarter, or three; the two full sisters receive two-thirds, or eight; and the remaining one goes to the paternal uncle.

A quarter together with one-third is likewise based on twelve, because their denominators are mutually prime: the denominator of one-third is three, and that of one-quarter is four, and the two are