Warismatika ID
Ibn Uthaymin

06 — The Calculation Engine: Steps and the Base Number

This is the core “HOW” chapter. All the theory from chapters 02–05 is executed through the same standard 7-step procedure for every case — from the simplest up to munasakhat. Master the procedure here; later chapters just add special cases.

The standard 7-step procedure

flowchart TB
  classDef proses fill:#713f12,stroke:#ca8a04,color:#fef9c3
  classDef furud fill:#1e3a8a,stroke:#3b82f6,color:#dbeafe
  classDef asabah fill:#134e4a,stroke:#14b8a6,color:#ccfbf1
  classDef hasil fill:#3b0764,stroke:#a855f7,color:#f3e8ff
  S1["1. List the heirs:<br/>filter mani' & hajb (ch. 02, 05)"]:::proses --> S2["2. Set each person's status:<br/>which furudh / 'ashabah (ch. 03, 04)"]:::furud
  S2 --> S3["3. Determine the BASE NUMBER<br/>(LCM of the furudh denominators)"]:::proses
  S3 --> S4["4. Calculate each furudh's shares<br/>(base × fraction)"]:::furud
  S4 --> S5["5. Remainder → 'ashabah<br/>(male:female = 2:1)"]:::asabah
  S5 --> S6["6. Correct if needed:<br/>'awl / radd / tashih (ch. 07)"]:::proses
  S6 --> S7["7. Convert to money:<br/>value of 1 share = estate ÷ final base"]:::hasil

Step 3: determining the base number

The base number (asl al-mas’alah) is the principal figure for the division — the smallest number that can hold all the furudh fractions without a remainder (in mathematical terms: the LCM of the denominators). Because furudh only ever involve the denominators 2, 3, 4, 6, and 8, their combinations are limited to seven base numbers: 2, 3, 4, 6, 8, 12, and 24.

Combination of denominators presentBase number
1/2 only2
1/3 or 2/3 only3
1/4 only (± 1/2)4
1/6 (± 1/2, 1/3, 2/3)6
1/8 only (± 1/2)8
1/4 meets 1/3, 2/3, or 1/612
1/8 meets 1/3, 2/3, or 1/624

Two practical rules:

Steps 4–5: a fully worked example

Case: the deceased (male) leaves a wife, a mother, and 2 sons. Net estate: Rp 480,000,000.

  1. Filter: no mani’; nobody is mahjub (everyone belongs to the “six never blocked” plus the sons).
  2. Status: wife 1/8 (descendants present); mother 1/6 (descendants present); 2 sons are ‘ashabah.
  3. Base number: denominators 8 and 6 → LCM = 24.
  4. Furudh shares: wife 24 × 1/8 = 3; mother 24 × 1/6 = 4.
  5. Remainder: 24 − 3 − 4 = 17 for the 2 sons → 17/2 is not a whole number → tashih needed (chapter 07): multiply everything by 2 → base 48; wife 6, mother 8, each son 17.
  6. Convert: value of 1 share = 480 million ÷ 48 = Rp 10 million → wife Rp 60 million, mother Rp 80 million, each son Rp 170 million. Total 60+80+170+170 = 480 ✓.

Every case in chapters 1012 follows exactly this format.

How to write the working frame (worksheet format)

In Tashil al-Faraidh, Ibn Uthaymin trains students to write a stacked table. The text version:

Base number: 24 → tashih ×2 = 48         Estate: Rp 480,000,000
──────────────────────────────────────────────────────────────
Heirs          Status      Shares/24  Shares/48  Rupiah
wife           1/8             3          6       60,000,000
mother         1/6             4          8       80,000,000
son (1)        'ashabah      ─┐          17      170,000,000
son (2)        'ashabah      17┘         17      170,000,000
──────────────────────────────────────────────────────────────
Total                          24         48      480,000,000 ✓

A small habit that saves you: always sum the last column and check it against the estate. If it doesn’t match, something went wrong at step 2 (status) or step 6 (correction).

Three possible outcomes after the furudh are paid

  1. Exactly used up — no remainder, no problem. Done.
  2. Remainder exists, and there are ‘ashabah — the remainder goes to the ‘ashabah (the case above).
  3. It doesn’t fit evenly:
    • Furudh exceed the base number → ‘awl (the base is raised).
    • There’s a remainder but no ‘ashabahradd (the remainder is returned to the ashabul furudh).
    • Shares don’t divide evenly by head count → tashih.

These three corrections are the content of chapter 07.

Sources: Tashil al-Faraidh, bab ta’shilul-masa’il wa tashihuha (Shamela 11095); ash-Sharh al-Mumti’, bab Faraidh. Full list in 15-references.