The Qur'an assigns each fixed-share heir an exact fraction of the estate — a half, a third, a sixth, and so on. Most of the time these fractions, once gathered and added, behave themselves: they total the whole estate, or they leave a remainder that passes neatly to a residuary heir. But because each share is fixed independently of the others, two awkward situations can arise. Sometimes the shares add up to more than the whole estate. Sometimes they add up to less, with no residuary waiting to absorb what is left over. Islamic inheritance law solves these two problems with two complementary doctrines: ʿawl and radd. This article explains both, with fully worked examples you can follow on paper.
Why the Shares Don't Always Total One
The key to both doctrines is to remember that the six Qur'anic fractions are awarded one heir at a time. Nobody sat down and engineered them to sum perfectly in every family. A husband's half and two sisters' two-thirds are each individually correct — yet placed side by side in one estate they demand more than exists. The doctrines of ʿawl and radd do not change any heir's entitlement; they adjust the common base so that a finite estate can actually be shared out while keeping the divinely-fixed ratios between heirs intact.
"Allah instructs you concerning your children: for the male, what is equal to the share of two females..."
— Qur'an, Sūrat al-Nisāʾ 4:11
ʿAwl: When the Shares Overflow
The word ʿawl carries the sense of "increase." It is applied when the fixed shares total more than the estate. The remedy is elegant: rather than arbitrarily cutting one heir, you raise the common denominator to the total of the shares, so every heir is reduced by exactly the same proportion. The ratios between them are preserved; only the slice of the whole shrinks. The first case of ʿawl in Islamic history was decided by the caliph Umar ibn al-Khattab, after he consulted the Companions on how to handle shares that overflowed the estate.
Worked Example 1: Husband and Two Full Sisters
The husband is entitled to 1/2; two full sisters together take 2/3. Over a common base of 6, that is 3/6 + 4/6 = 7/6. The shares already exceed the estate by one-sixth. Under ʿawl, the base is raised from 6 to 7 — the total of the share-parts — and each heir keeps their original number of parts out of the new, larger base.
| Heir | Qur'anic share | Parts (base 6) | After ʿawl (base 7) |
|---|---|---|---|
| Husband | 1/2 | 3 | 3/7 |
| Two full sisters | 2/3 | 4 | 4/7 |
| Total | 7/6 | 7 | 7/7 = 1 |
Everyone shrinks by the same proportion. The husband still receives more than each individual sister; nobody is singled out for the shortfall.
Worked Example 2: The "Minbariyya" Case
This famous case is named al-minbariyya because Umar is reported to have answered it spontaneously while on the minbar. The survivors are a husband, two daughters, a father and a mother: 1/4 + 2/3 + 1/6 + 1/6. Over a base of 12 that is 3/12 + 8/12 + 2/12 + 2/12 = 15/12. The base is raised from 12 to 15.
| Heir | Qur'anic share | Parts (base 12) | After ʿawl (base 15) |
|---|---|---|---|
| Husband | 1/4 | 3 | 3/15 (= 1/5) |
| Two daughters | 2/3 | 8 | 8/15 |
| Father | 1/6 | 2 | 2/15 |
| Mother | 1/6 | 2 | 2/15 |
| Total | 15/12 | 15 | 1 |
The husband's quarter has effectively become a fifth — a real reduction — but it is the same proportional reduction every other heir absorbs.
Radd: When the Shares Fall Short
Radd means "return." It is the mirror image of ʿawl, applied when the fixed shares total less than the estate and there is no residuary heir (ʿaṣaba) to take the leftover. Rather than letting the surplus go to waste, the law returns it to the fixed-share heirs — in proportion to their existing shares. There is one important exception under the majority view: the spouse does not share in radd. A surviving husband or wife receives only their named fraction and no part of the returned surplus, as long as another fixed-share heir is present to receive it.
Worked Example: Mother and One Daughter
The survivors are a mother (1/6) and one daughter (1/2), with no other heir. Together their shares are 1/6 + 3/6 = 4/6 = 2/3, leaving a surplus of 1/3. Since there is no residuary, that surplus is returned to them in the same ratio as their shares — 1 part to the mother, 3 parts to the daughter, a ratio of 1:3.
| Heir | Fixed share | Ratio | After radd |
|---|---|---|---|
| Mother | 1/6 | 1 | 1/4 |
| Daughter | 1/2 | 3 | 3/4 |
| Total | 2/3 | 4 | 1 |
Worked Example: Two Daughters Only
If the only heirs are two daughters, their fixed share is 2/3 and a surplus of 1/3 remains with no residuary to claim it. Radd returns the surplus to them, and since they are the only heirs, they simply take the entire estate between them, splitting it equally.
When the only heir is a spouse
What if a surviving spouse is the only heir, with no fixed-share relative and no residuary? The spouse takes their named fraction — but the majority do not return the surplus to the spouse through radd. Instead the remainder passes to the bayt al-mal, the public treasury, for the benefit of the wider community. Some modern authorities differ and return it to the lone spouse. This is one of the points where a real case should be confirmed with a qualified scholar.
Two Doctrines, One Principle
ʿAwl and radd can look like patches stitched onto the system, but they are nothing of the kind. Each fixed share is a ratio first and a fraction second. When the fractions overflow, ʿawl shrinks every slice equally; when they fall short, radd grows every slice equally — and in both directions the relationship between heirs that the Qur'an established is left untouched. The law simply fits divinely-fixed ratios to whatever finite estate actually exists.
A good calculator handles both automatically. Our inheritance calculator flags ʿawl and radd whenever the shares overflow or fall short, and shows you the adjusted base. To see how these doctrines sit within the wider system of heirs, fractions, and blocking, read our complete guide and the companion overview, how Islamic inheritance works.
This article is provided for education and general understanding only. It does not constitute a fatwa or a binding ruling for any individual case. Real inheritance situations often involve subtle details that change the outcome, and scholars differ on some points. Always have an actual case confirmed by a qualified scholar or specialist in Islamic inheritance before acting on it.