Blog ·2026-05-02 · 6 min read

What is Radd in Islamic Inheritance? Redistributing Surplus Shares

A plain-English explanation of Radd in Fara'id. When prescribed shares total less than the estate, who gets the surplus, and how it's redistributed. With worked examples and the schools' positions.

Islamic inheritance has a quiet asymmetry. Sometimes prescribed shares total more than the estate, and we apply Awl to scale them down. But the opposite happens too: shares add up to less than the estate, and there's no residuary heir (asabah) waiting to claim the leftover. What happens to the surplus?

The classical answer is Radd, which literally means "return." The unclaimed portion is returned to the eligible fixed-share heirs, distributed in proportion to their original shares. This article explains when Radd triggers, who gets it, who doesn't, and how it's computed.

The simplest case

A man dies leaving only a daughter. The Quran prescribes the daughter 1/2. There are no other heirs.

The daughter gets her 1/2. What about the other 1/2?

In a system without Radd, the surplus would go to a more distant relative (a cousin, an uncle, the public treasury). With Radd, the daughter inherits the entire estate. The 1/2 prescribed, plus the leftover 1/2 returned to her as the only eligible heir.

When does Radd trigger?

Radd applies when both conditions hold:

The total of fixed shares is less than the whole estate.
There is no residuary heir (asabah) to take the remainder.

The second condition is the trickier one. A son, a grandson, a full brother, a paternal uncle: all of these are residuary heirs in some configurations, and any of them present short-circuits Radd. The remainder goes to them, not back to the fixed-share holders.

Radd most often applies when:

The deceased leaves only daughters and a mother (no sons, no father).
The deceased leaves only sisters and a mother (no brothers, no father, no spouse).
The deceased leaves only a daughter and a granddaughter through a son (a thin descent line with no males).

A worked example

A woman dies leaving:

Her mother
One daughter

Quranic prescriptions:

Mother (with children): 1/6
One daughter: 1/2

Total: 1/6 + 1/2 = 1/6 + 3/6 = 4/6. The remaining 2/6 has no claimant. There's no son, no father, no spouse, no brother. Radd applies.

The 2/6 surplus is redistributed to the mother and daughter in proportion to their original shares (1 part mother : 3 parts daughter):

Mother gets 1/4 of the surplus = 2/24 added to her 1/6
Daughter gets 3/4 of the surplus = 6/24 added to her 1/2

Final shares: mother 4/24 + 2/24 = 6/24 = 1/4. Daughter 12/24 + 6/24 = 18/24 = 3/4. Together they fill the entire estate, and the proportion 1:3 between them is preserved.

The shortcut formula

You don't actually have to compute the redistribution step. There's an algebraic shortcut: replace the original denominator with the sum of the numerators (the actual total of the prescribed shares), keeping numerators the same.

From our example: numerators sum to 4 (mother 1 + daughter 3), new denominator is 4. So mother is 1/4, daughter is 3/4. Same answer, less arithmetic. This is the mirror of Awl. Awl scales up the denominator to absorb overrun, Radd scales it down to absorb shortfall.

The spouse exception

There's one important wrinkle: spouses do not participate in Radd in the majority opinion. A wife or husband is entitled only to the prescribed share, never to a piece of the surplus.

The reasoning: spouses are connected to the deceased only by marriage, not by blood. Radd is a doctrine of returning surplus to blood relatives, so the spouse's fixed share is calculated first and excluded from the Radd redistribution.

In practice, this means: if a spouse is one of several heirs and Radd applies, the spouse takes only their prescribed fraction. The remaining estate (after the spouse's share) is what gets redistributed via Radd among the other eligible heirs.

Where the schools differ on Radd

The four Sunni schools generally agree on the existence and mechanics of Radd, with these notable nuances:

Maliki and early Shafi'i: Historically resistant to applying Radd, preferring the surplus go to the public treasury (Bayt al-Mal). In contemporary Maliki practice, Radd is generally applied when the treasury isn't organized to receive estates.
Hanafi and Hanbali: Apply Radd as the default rule whenever the surplus has no residuary claimant.
All schools: Exclude spouses from Radd in the majority position.

FairShare's Compare Schools view shows you exactly how Radd is applied for any given family across the five schools we support, including the cases where Maliki and Shafi'i produce different answers from the General/Hanafi/Hanbali consensus.

Why Radd matters

Radd is the rule that prevents the unfair outcome where a daughter or a sister inherits less than her prescribed share would suggest because there's nobody "senior" to absorb the leftover. Without Radd, a single daughter would inherit only 1/2 of her father's estate, with the remaining 1/2 going to a distant uncle, even though the spirit of the inheritance prescriptions clearly favors her.

Awl and Radd together act as fairness adjustments: Awl prevents impossible math, Radd prevents perverse outcomes. Together they make Fara'id work as a complete system.