How are distributions calculated when multiple heirs are involved and bequests are defined relative to shares of heirs or other bequests (e.g., 'share of one son minus a fraction of another's bequest')?

Primary text

When distributing bequests involving complex relational clauses, such as one heir receiving the equivalent of a son's share minus a fraction of another relative's bequest, the solution requires algebraic resolution. This involves multiplying the denominators (the denominators of the fractions subtracted from the shares/bequests) to establish a common base (the divisor), adjusting this base by the number of fractional subtractions, and using algebraic balancing (e.g., 'al-Jabr wal-Muqabala') to solve for the unknown values corresponding to the bequests.