How is the estate divided when bequests are stated as a fixed amount minus a fraction of another bequest (e.g., 'ten minus one-fourth of the cousin's bequest')?
General Chapter
Al-Mughni
Book of Bequests
Primary text
When bequests are defined as a fixed sum minus a fraction of another bequest, the method involves multiplying the denominators of the fractional exclusions to find a base divisor. This divisor is then reduced by one unit (representing the fixed sum's reference point) to find the total divisible amount. The calculation proceeds by assigning an initial unit to one party, subtracting the fractional exclusion based on that unit, multiplying the remainder by the fixed sum, and dividing the result by the total divisible amount to find the specific bequest value.
Supporting text
An alternative method is to use a simplified algebraic approach where the remaining fraction after subtraction from the fixed amount is calculated first, multiplied by the fixed amount, and then divided by the adjusted divisor.