Wersja z 2015-09-12
| ułamek | warunek | `a` | różnica `a` | warunek | `b` | różnica `b` | rozkład | |
|---|---|---|---|---|---|---|---|---|
| `4/5` | `1.25 < a < 3.75` | `3` | `4/5 - 1/3 = 7/15` | `2.14 < b < 4.29`, `b > 3` | `4` | `7/15 - 1/4 = 13/60` | — | |
| `2` | `4/5 - 1/2 = 3/10` | `3.33 < b < 6.67` | `6` | `3/10 - 1/6 = 2/15` | — | |||
| `5` | `3/10 - 1/5 = 1/10` | `4/5 = 1/2 + 1/5 + 1/10` | ||||||
| `4` | `3/10 - 1/4 = 1/20` | `4/5 = 1/2 + 1/4 + 1/20` | ||||||
| `3/7` | `2.33 < a < 7` | `6` | `3/7 - 1/6 = 11/42` | `3.82 < b < 7.64`, `b > 6` | `7` | `11/42 - 1/7 = 5/42` | — | |
| `5` | `3/7 - 1/5 = 8/35` | `4.38 < b < 8.75`, `b > 5` | `8` | `8/35 - 1/8 = 29/280` | — | |||
| `7` | `8/35 - 1/7 = 3/35` | — | ||||||
| `6` | `8/35 - 1/6 = 13/210` | — | ||||||
| `4` | `3/7 - 1/4 = 5/28` | `5.6 < b < 11.2` | `11` | `5/28 - 1/11 = 27/308` | — | |||
| `10` | `5/28 - 1/10 = 11/140` | — | ||||||
| `9` | `5/28 - 1/9 = 17/252` | — | ||||||
| `8` | `5/28 - 1/8 = 3/56` | — | ||||||
| `7` | `5/28 - 1/7 = 1/28` | `3/7 = 1/4 + 1/7 + 1/28` | ||||||
| `6` | `5/28 - 1/6 = 1/84` | `3/7 = 1/4 + 1/6 + 1/84` | ||||||
| `3` | `3/7 - 1/3 = 2/21` | `10.5 < b < 21` | `20` | `2/21 - 1/20 = 19/420` | — | |||
| `19` | `2/21 - 1/19 = 17/399` | — | ||||||
| `18` | `2/21 - 1/18 = 5/126` | — | ||||||
| `17` | `2/21 - 1/17 = 13/357` | — | ||||||
| `16` | `2/21 - 1/16 = 11/336` | — | ||||||
| `15` | `2/21 - 1/15 = 1/35` | `3/7 = 1/3 + 1/15 + 1/35` | ||||||
| `14` | `2/21 - 1/14 = 1/42` | `3/7 = 1/3 + 1/14 + 1/42` | ||||||
| `13` | `2/21 - 1/13 = 5/273` | — | ||||||
| `12` | `2/21 - 1/12 = 1/84` | `3/7 = 1/3 + 1/12 + 1/84` | ||||||
| `11` | `2/21 - 1/11 = 1/231` | `3/7 = 1/3 + 1/11 + 1/231` | ||||||
| `5/7` | `1.4 < a < 4.2` | `4` | `5/7 - 1/4 = 13/28` | `2.15 < b < 4.31`, `b > 4` | — | — | — | |
| `3` | `5/7 - 1/3 = 8/21` | `2.63 < b < 5.25`, `b > 3` | `5` | `8/21 - 1/5 = 19/105` | — | |||
| `4` | `8/21 - 1/4 = 11/84` | — | ||||||
| `2` | `5/7 - 1/2 = 3/14` | `4.67 < b < 9.33` | `9` | `3/14 - 1/9 = 13/126` | — | |||
| `8` | `3/14 - 1/8 = 5/56` | — | ||||||
| `7` | `3/14 - 1/7 = 1/14` | `5/7 = 1/2 + 1/7 + 1/14` | ||||||
| `6` | `3/14 - 1/6 = 1/21` | `5/7 = 1/2 + 1/6 + 1/21` | ||||||
| `5` | `3/14 - 1/5 = 1/70` | `5/7 = 1/2 + 1/5 + 1/70` | ||||||
| `6/7` | `1.17 < a < 3.5` | `3` | `6/7 - 1/3 = 11/21` | `1.91 < b < 3.82`, `b > 3` | — | — | — | |
| `2` | `6/7 - 1/2 = 5/14` | `2.8 < b < 5.6` | `5` | `5/14 - 1/5 = 11/70` | — | |||
| `4` | `5/14 - 1/4 = 3/28` | — | ||||||
| `3` | `5/14 - 1/3 = 1/42` | `6/7 = 1/2 + 1/3 + 1/42` | ||||||
| `7/8` | `1.14< a < 3.43` | `3` | `7/8 - 1/3 = 13/24` | `1.85 < b < 3.69`, `b > 3` | — | — | — | |
| `2` | `7/8 - 1/2 = 3/8` | `2.67 < b < 5.33` | `5` | `3/8 - 1/5 = 7/40` | — | |||
| `4` | `3/8 - 1/4 = 1/8` | `7/8 = 1/2 + 1/4 + 1/8` | ||||||
| `3` | `3/8 - 1/3 = 1/24` | `7/8 = 1/2 + 1/3 + 1/24` | ||||||
| `7/9` | `1.29 < a < 3.86` | `3` | `7/9 - 1/3 = 4/9` | `2.25 < b < 4.5`, `b > 3` | `4` | `4/9 - 1/4 = 7/36` | — | |
| `2` | `7/9 - 1/2 = 5/18` | `3.6 < b < 7.2` | `7` | `5/18 - 1/7 = 17/126` | — | |||
| `6` | `5/18 - 1/6 = 1/9` | `7/9 = 1/2 + 1/6 + 1/9` | ||||||
| `5` | `5/18 - 1/5 = 7/90` | — | ||||||
| `4` | `5/18 - 1/4 = 1/36` | `7/9 = 1/2 + 1/4 + 1/36` | ||||||
| `8/9` | `1.13 < a < 3.38` | `3` | `8/9 - 1/3 = 5/9` | `1.8 < b < 3.6`, `b > 3` | — | — | — | |
| `2` | `8/9 - 1/2 = 7/18` | `2.57 < b < 5.14` | `5` | `7/18 - 1/5 = 17/90` | — | |||
| `4` | `7/18 - 1/4 = 5/36` | — | ||||||
| `3` | `7/18 - 1/3 = 1/18` | `8/9 = 1/2 + 1/3 + 1/18` | ||||||
| `9/10` | `1.11 < a < 3.33` | `3` | `9/10 - 1/3 = 17/30` | `1.76 < b < 3.53`, `b > 3` | — | — | — | |
| `2` | `9/10 - 1/2 = 2/5` | `2.5 < b < 5` | `4` | `2/5 - 1/4 = 3/20` | — | |||
| `3` | `2/5 - 1/3 = 1/15` | `9/10 = 1/2 + 1/3 + 1/15` | ||||||
| `5/11` | `2.2 < a < 6.6` | `6` | `5/11 - 1/6 = 19/66` | `3.47 < b < 6.95`, `b > 6` | — | — | — | |
| `5` | `5/11 - 1/5 = 14/55` | `3.93 < b < 7.86`, `b > 5` | `7` | `14/55 - 1/7 = 43/385` | — | |||
| `6` | `14/55 - 1/6 = 29/330` | — | ||||||
| `4` | `5/11 - 1/4 = 9/44` | `4.89 < b < 9.78` | `9` | `9/44 - 1/9 = 37/396` | — | |||
| `8` | `9/44 - 1/8 = 7/88` | — | ||||||
| `7` | `9/44 - 1/7 = 19/308` | — | ||||||
| `6` | `9/44 - 1/6 = 5/132` | — | ||||||
| `5` | `9/44 - 1/5 = 1/220` | `5/11 = 1/4 + 1/5 + 1/220` | ||||||
| `3` | `5/11 - 1/3 = 4/33` | `8.25 < b < 16.5` | `16` | `4/33 - 1/16 = 31/528` | — | |||
| `15` | `4/33 - 1/15 = 3/55` | — | ||||||
| `14` | `4/33 - 1/14 = 23/462` | — | ||||||
| `13` | `4/33 - 1/13 = 19/429` | — | ||||||
| `12` | `4/33 - 1/12 = 5/132` | — | ||||||
| `11` | `4/33 - 1/11 = 1/33` | `5/11 = 1/3 + 1/11 + 1/33` | ||||||
| `10` | `4/33 - 1/10 = 7/330` | — | ||||||
| `9` | `4/33 - 1/9 = 1/99` | `5/11 = 1/3 + 1/9 + 1/99` | ||||||
| `7/11` | `1.57 < a < 4.71` | `4` | `7/11 - 1/4 = 17/44` | `2.59 < b < 5.18`, `b > 4` | `5` | `17/44 - 1/5 = 41/220` | — | |
| `3` | `7/11 - 1/3 = 10/33` | `3.3 < b < 6.6` | `6` | `10/33 - 1/6 = 3/22` | — | |||
| `5` | `10/33 - 1/5 = 17/165` | — | ||||||
| `4` | `10/33 - 1/4 = 7/132` | — | ||||||
| `2` | `7/11 - 1/2 = 3/22` | `7.33 < b < 14.67` | `14` | `3/22 - 1/14 = 5/77` | — | |||
| `13` | `3/22 - 1/13 = 7/286` | — | ||||||
| `12` | `3/22 - 1/12 = 7/132` | — | ||||||
| `11` | `3/22 - 1/11 = 1/22` | `7/11 = 1/2 + 1/11 + 1/22` | ||||||
| `10` | `3/22 - 1/10 = 2/55` | — | ||||||
| `9` | `3/22 - 1/9 = 5/198` | — | ||||||
| `8` | `3/22 - 1/8 = 1/88` | `7/11 = 1/2 + 1/8 + 1/88` | ||||||
| `8/11` | `1.38 < a < 4.13` | `4` | `8/11 - 1/4 = 21/44` | `2.10 < b < 4.19`, `b > 4` | — | — | — | * |
| `3` | `8/11 - 1/3 = 13/33` | `2.54 < b < 5.08`, `b > 3` | `5` | `13/33 - 1/5 = 32/165` | — | |||
| `4` | `13/33 - 1/4 = 19/132` | — | ||||||
| `2` | `8/11 - 1/2 = 5/22` | `4.4 < b < 8.8` | `8` | `5/22 - 1/8 = 9/88` | — | |||
| `7` | `5/22 - 1/7 = 13/154` | — | ||||||
| `6` | `5/22 - 1/6 = 2/33` | — | ||||||
| `5` | `5/22 - 1/5 = 3/110` | — | ||||||
| `9/11` | `1.22 < a < 3.67` | `3` | `9/11 - 1/3 = 16/33` | `2.06 < b < 4.13`, `b > 3` | `4` | `16/33 - 1/4 = 31/132` | — | * |
| `2` | `9/11 - 1/2 = 7/22` | `3.14 < b < 6.29` | `6` | `7/22 - 1/6 = 5/33` | — | |||
| `5` | `7/22 - 1/5 = 13/110` | — | ||||||
| `4` | `7/22 - 1/4 = 3/44` | — | ||||||
| `10/11` | `1.1 < a < 3.3` | `3` | `10/11 - 1/3 = 19/33` | `1.74 < b < 3.47`, `b > 3` | — | — | — | * |
| `2` | `10/11 - 1/2 = 9/22` | `2.44 < b < 4.89` | `4` | `9/22 - 1/4 = 7/44` | — | |||
| `3` | `9/22 - 1/3 = 5/66` | — | ||||||
| `11/12` | `1.09 < a < 3.27` | `3` | `11/12 - 1/3 = 7/12` | `1.71 < b < 3.43`, `b > 3` | — | — | — | |
| `2` | `11/12 - 1/2 = 5/12` | `2.4 < b < 4.8` | `4` | `5/12 - 1/4 = 1/6` | `11/12 = 1/2 + 1/4 + 1/6` | |||
| `3` | `5/12 - 1/3 = 1/12` | `11/12 = 1/2 + 1/3 + 1/12` | ||||||
Gwiazdka w ostatniej kolumnie oznacza, że rozkład na trzy składniki nie istnieje i należy odszukać ułamek w następnej tabeli.