The purpose of the previous comment was also to show that the various sayings and reports in the form of the ahadith are a record of the human struggle to come to grips with divine guidance on inheritance but not succeeding too well as none of these provide a solution in conformity with the Quran. The shortcoming in the human effort is on account of the lack of required knowledge of Math and logical inferences among the people of the seventh century. This establishes in no uncertain terms, the limitation of the ahadith as merely products of human thinking. We can also see that the Quran is on a different plane altogether and not a product of the human mind. If the Quran was the word of the Prophet, then verse 4:176 should have been in accordance with the hadith which says that whatever remains after the faraid shares are distributed goes to the nearest male relative.  Doing so would have solved all problems of distribution. The Quran however does not say that but merely relaxes the rule for inheritance by siblings in the absence of children to be similar to that of the children making the brother a full residuary just like a son. However the residue for distribution is reduced since the share of the spouse is doubled in the absence of progeny of the deceased. It is easy to see that the divine guidance is not diluted merely to suit what the people of the seventh century could understand, although some allowance was made when verse 4:176 was revealed. However, the fact that 4:176 was not meant to be is also clear which makes it possible for later generations to treat it as a temporary measure for those times which can be discontinued now. The reason why the Muslims have struggled to this date with the inheritance laws is because we take the ahadith seriously even when the defects glare us in the face. The ahadiths in this case are no more than quick fix solutions not meant to become a rule since these do not even conform to the Quran.

The following ahadith show that people in the Prophet's times struggled with how to deal with what remains after the fixed sharers get their share in the absence of a son who is a residuary in its purest sense and can inherit all that remains even if it is 100%.

 80:726  Narrated Al-Aswad bin Yazid: Mu'adh bin Jabal came to us in Yemen as a tutor and a ruler, and we (the people of Yemen) asked him about (the distribution of the property of ) a man who had died leaving a daughter and a sister. Mu'adh gave the daughter one-half of the property and gave the sister the other half.  

  Please make a note that as per verse 4:12, siblings of the deceased inherit only in the absence of a child and since the daughter is a child, siblings are not entitled to inherit.  The hadith therefore contradicts the Quran.

 727 Narrated Ibn 'Abbas: Allah's Apostle said, "Give the Fara'id (shares prescribed in the Qur'an) to those who are entitled to receive it; and whatever remains, should be given to the closest male relative of the deceased.'  

 The hadith above also is not supported by the Quran. There is no verse which talks about what to do with what remains. The hadith prescribes an arbitrary rule to take care of what remains in the absence of a satisfactory solution which the people of those times could not find.

 728  Narrated Huzail bin Shirahbil: Abu Musa was asked regarding (the inheritance of) a daughter, a son's daughter, and a sister. He said, "The daughter will take one-half and the sister will take one-half. If you go to Ibn Mas'ud, he will tell you the same." Ibn Mas'ud was asked and was told of Abu Musa's verdict. Ibn Mas'ud then said, "If I give the same verdict, I would stray and would not be of the rightly-guided. The verdict I will give in this case, will be the same as the Prophet did, i.e. one-half is for daughter, and one-sixth for the son's daughter, i.e. both shares make two-thirds of the total property; and the rest is for the sister." Afterwards we came to Abu Musa and informed him of Ibn Mas'ud's verdict, whereupon he said, "So, do not ask me for verdicts, as long as this learned man is among you."  

 The above hadith has value since it prescribes what can be inherited by the daughter of a predeceased son. In my view, it should be half for the daughter and half for the son’s daughter. Sister does not inherit in the presence of a child of the deceased as per verse 4:12 or 4:176 of the Quran.

 18:2885 Narrated Jabir ibn Abdullah: We went out with the Apostle of Allah (peace_be_upon_him) and came to a woman of the Ansar in al-Aswaf. The woman brought her two daughters, and said: Apostle of Allah, these are the daughters of Thabit ibn Qays who was killed as a martyr when he was with you at the battle of Uhud, their paternal uncle has taken all their property and inheritance, and he has not left anything for them. What do you think, Apostle of Allah? They cannot be married unless they have some property. The Apostle of Allah (peace_be_upon_him) said: Allah will decide regarding the matter. Then the verse of Surat an-Nisa was revealed: "Allah (thus) directs you as regards your children's (inheritance)." Apostle of Allah (peace_be_upon_him) said: Call to me the woman and her husband's brother. He then said to their paternal uncle: Give them two-thirds and their mother an eighth, and what remains is yours.  

 The hadith above is also dealing with the problem of what to do with what remains and giving what remains to the brother of the deceased although the brother is not entitled to receive anything as per verse 4:12 or 4:176.

 736 Narrated Al-Bara: The last Quranic Verse that was revealed (to the Prophet) was the final Verse of Surat-an-Nisa, i.e., 'They ask you for a legal verdict Say: Allah directs (thus) About those who leave No descendants or ascendants as heirs....' (4.176)  

 The last hadith confirms what I said about verse 4:176 in my earlier comment which is reproduced.

 Verse 4:176 was never meant to be. Verses 4:11 and 4:12 contain all that is needed on the subject of inheritance. Verse 4:176 is one of the last verses revealed after Surah Maida and Taubah although Surah 4 or An Nisa where this verse finds a place was revealed much earlier. It was revealed after a persistent demand for clarity by people who did not know how to deal with the problem when the fractions do not add upto 1. 

If the deceased died without child/children or without a residuary, which must have been a common occurrence with many men/women dying young because of war/disease or in childbirth, the people had a problem dividing the inheritance with the fractions not adding upto 1.  Verse 4:176, in the absence of children or residuary, simply makes the siblings take the place of residuary with the brothers and sisters inheriting exactly as sons and daughters would, thus solving the problem of division!

Hopefully, since we are now better at Math, verse 4:176 can be ignored as it was never meant to be. The division for brother and sister in 4:12 which is different from the modified division in verse 4:176 is what it was originally meant to be. Notice that brothers and sisters inherit equally in verse 4:12 and together not exceeding 1/3 and individually not exceeding 1/6 irrespective of their number. It makes sense since siblings are least deserving compared with spouse, parents and children because of which they do not have any share at all if the deceased left behind children.  Siblings actually fit the definition of Kalala which means a weak relationship. In this case, the weakness refers to their entitlement in the inheritance. 

Scholars could not explain the division for siblings in 4:12 which is overridden in 4:176  by a different rule and have given a far-fetched explanation that the division in 4:12 refers to the division for uterine siblings! Some conjecture!

My explanation for verse 4:176 is also conjecture. It however makes sense since people even today are weak in Math and have a problem when the fractions do not add upto 1. That verse 4:176 was added after a long gap and persistent demands for clarity is however fact as evidenced by the cited hadith and the fact that it is the last verse number 176 in the Surah.

Dear SR,

The following verse speaks about leaving behind a will:

(2:180) It is prescribed, when death approaches any of you, if he leave any goods that he make a bequest to parents and next of kin, according to reasonable usage; this is due from the Allah-fearing.

The verses regarding inheritance are subsequent to the revelation of the above verse. Be that as it may, I do not believe in any theory of abrogation and the verse above is good in Islamic law unless overridden by man-made laws. Moreover, both the verses 4:11 and 4:12 talk about distribution after the payment of legacies (meaning will or bequests) and debts. If all of the assets are covered in the will and nothing remains for distribution beyond the will, it is the will that then becomes the basis for distribution. The inheritance as per the law in 4:11 and 4:12 is therefore for cases where the deceased has died intestate or has not covered all his/her assets by the will.

Having said that, the fiq of the imams says that not more than 1/3 may be covered under a will and the beneficiary of a will cannot be a natural heir who inherits as per the laws of inheritance. The will therefore can cover only those who are not natural heirs such as an adopted child or the children of a predeceased child etc. In countries where this fiq is law which appears to be the case in Dubai, a will that dispossesses fully or partially one heir to benefit another is null and void. Under these laws the relative proportions of the heirs cannot be varied through a will.

In general, there is value in having a stable and fixed law and the fiq of the imams has considerable merit. In the absence of such certainty and rigidity, the children in general will show a tendency to exert pressure on their parents to garner a larger share leading to much heart burning and intense rivalries. In their wisdom, the imams have put the issue beyond all such pulls and pressures and several countries have codified it into law. In my opinion this is good fiq and good law and saves everyone from unnecessary pressures.

Rational,   You can only project your weakness of poor Math and Logic on the Quran. Did you also not say that Kaba as qibla does not make sense on a spherical earth because line of sight is not possible? You showed the thinking level of a person who can only think in terms of a flat earth and that was surprising for a telecom engineer! So there is nothing surprising if a person cannot deal with fractions that do not add upto 1. That there are a residuaries and in their absence, the fractions will not add upto 1 is a certainty. What is surprising is that anyone should even expect them to add upto 1! How to deal with it is also simple in Math. I can think of not one but three different ways which will give you the same result. 

1. Treat the numbers as representing relative proportions.

2. Normalization: Modified fraction = Original fraction divided by sum all the fractions.

3. Iterative process. What remains after distribution gets redistributed using the same fractions until nothing is left for distribution.

The Quran lays down the most comprehensive, the most reasonable, the most meaningful inheritance laws in just two verses. Try as you may to improve upon it but you will not succeed. The Quran is clearly not revealed keeping the limitations of 7th century man or of the  21 st century to understand it as it should be understood. That is why its understanding  increases progressively as our understanding of the world increases.  That is its greatness. There are people such as you who are without understanding and will never understand as the Quran itself confirms.

Rational,

 I get the feeling that you have not understood the Math and the logic of the laws of inheritance although I have explained it in detail.

Yes, if the Quran had merely listed all the possible heirs and said divide the inheritance equally among them; it would have made matters simple. God balances between what is right (those more in need and deserving should get more) with what is simple. I cannot envisage a better distribution than what is prescribed in the Quran.

The objective of this article is also to remove the blind spots that plagued all the four imams which has seriously impacted the lives and attitudes of Muslims towards the female child.

The discussion that follows shows the implicit logic of the distribution. 

1. No fraction is mentioned for the male child. He can therefore inherit whatever remains after those with fixed shares have taken their share and take the rest if he is the only child or divide among the siblings with the male getting twice of what a female gets. If there are no surviving heirs with fixed share in the inheritance , then 100% is inherited by the single male child or divided among all siblings in the manner described. The male child is therefore a residuary in its purest sense.

2. In the absence of a male child, a female child is also a residuary but becomes a heir with a fixed share of 1/2, if what remains as residuary is more than 1/2. In case the female children are two or more their fixed share together becomes 2/3. If what remains after distribution to others with fixed share is less than 2/3, they divide what remains equally among the sisters and if it is more than 2/3, they become part of fixed sharers with their collective share at 2/3. A female child is therefore also a residuary who becomes a fixed sharer if what remains is more than the upper limit fixed for her.

3. In the absence of children, the brothers and sisters become residuary inheritors just like a female child/children but with lower upper limit of 1/6 for a single sibling and 1/3 for two or more. The siblings share equally among brothers and sisters. This takes into account only verse 4:12 ignoring 4:176  

4. As discussed in the article, when all those with fixed share are alive, what remains for the residuary is 13/24 if the deceased was a male and 5/12 if it was a female. Since 13/24 is more than ½ and if there is a single female child, her share will then get fixed at ½ and all heirs then become heirs with fixed shares and their respective fixed share will be treated as their proportion in the inheritance and all will inherit proportionately more in the ratio 1/8:1/6:1/6:1/2  or 3:4:4:12. The wife of the deceased will now get 3/23 instead of 3/24, each of the parents will receive 4/23 instead of 4/24 and the daughter will receive 12/23 instead of 12/24. As can be seen, each one gets 24/23 times their fixed share or proportionately more.

If the deceased is a female, and all those with fixed share are alive, then the residuary of 5/12 is less than half and all of this can be inherited by a single female child or divided among multiple siblings in the manner described.

Every other case follows the same logic and any case can be dealt with. I can create a utility and automate the process of calculating inheritance.

Now, let us discuss the points of departure with the existing rulings of imams of various schools of jurisprudence.

What if the deceased is survived by only a single daughter - no spouse or parents but with siblings? Siblings can inherit only in the absence of child or descendants and daughter is very much both a child and a descendant. Siblings cannot become inheritors in the presence of child/children. The single girl therefore takes 100% of the inheritance. The upper limit of ½ fixed for a single female child is simply a number to be used as her proportion when other fixed sharers are present and the residue is more than ½ after taking into account the shares of all fixed sharers. In such a case, her share becomes ½ divided by sum of all the respective fractions. In case when the deceased is her father and all other fixed sharers are alive, we have seen that it is ½ divided by (1/8+1/6+1/6+1/2) or 1/2 divided by 23/24  or 12/23. Let us follow the same rule here to determine her share which is now ½ divided by (1/2+0) which is 1 or 100%.

The imams however, do not allow the daughter more than ½ and make the siblings inheritors for the remaining ½. This goes against the clear wording of the verse. When people do not take the literal meaning and try to interpret unnecessarily, we end up with such problems. They have filled up tomes of fiq to fill up the gaps in their understanding thinking that the gap in their understanding is the gap in the wordings of the Quran. Deficiency in Math and logic can have serious consequences.

Now you can understand why people are so desperate to have a male child to ensure that the inheritance remains in the family when there is actually no need for any anxiety on that count!