Wersja z 2015-09-12
| ułamek | warunek | `a` | różnica | rozkład | |
|---|---|---|---|---|---|
| mianownik 3 | |||||
| `2/3` | `1.5 < a < 3` | `2` | `2/3 - 1/2 = 1/6` | `2/3 = 1/2 + 1/6` | |
| mianownik 4 | |||||
| `3/4` | `1.33 < a < 2.67` | `2` | `3/4 - 1/2 = 1/4` | `3/4 = 1/2 + 1/4` | |
| mianownik 5 | |||||
| `2/5` | `2.5 < a < 5` | `4` | `2/5 - 1/4 = 3/20` | — | |
| `3` | `2/5 - 1/3 = 1/15` | `2/5 = 1/3 + 1/15` | |||
| `3/5` | `1.67 < a < 3.33` | `3` | `3/5 - 1/3 = 4/15` | — | |
| `2` | `3/5 - 1/2 = 1/10` | `3/5 = 1/2 + 1/10` | |||
| `4/5` | `1.25 < a < 2.5` | `2` | `4/5 - 1/2 = 3/10` | — | * |
| mianownik 6 | |||||
| `5/6` | `1.2 < a < 2.4` | `2` | `5/6 - 1/2 = 1/3` | `5/6 = 1/2 + 1/3` | |
| mianownik 7 | |||||
| `2/7` | `3.5 < a < 7` | `6` | `2/7 - 1/6 = 5/42` | — | |
| `5` | `2/7 - 1/5 = 3/35` | — | |||
| `4` | `2/7 - 1/4 = 1/28` | `2/7 = 1/4 + 1/28` | |||
| `3/7` | `2.33 < a < 4.67` | `4` | `3/7 - 1/4 = 5/28` | — | * |
| `3` | `3/7 - 1/3 = 2/21` | — | |||
| `4/7` | `1.75 < a < 3.5` | `3` | `4/7 - 1/3 = 5/21` | — | |
| `2` | `4/7 - 1/2 = 1/14` | `4/7 = 1/2 + 1/14` | |||
| `5/7` | `1.4 < a < 2.8` | `2` | `5/7 - 1/2 = 3/14` | — | * |
| `6/7` | `1.17 < a < 2.33` | `2` | `6/7 - 1/2 = 5/14` | — | * |
| mianownik 8 | |||||
| `3/8` | `2.67 < a < 5.33` | `5` | `3/8 - 1/5 = 7/40` | — | |
| `4` | `3/8 - 1/4 = 1/8` | `3/8 = 1/4 + 1/8` | |||
| `3` | `3/8 - 1/3 = 1/24` | `3/8 = 1/3 + 1/24` | |||
| `5/8` | `1.6 < a < 3.2` | `3` | `5/8 - 1/3 = 7/24` | — | |
| `2` | `5/8 - 1/2 = 1/8` | `5/8 = 1/2 + 1/8` | |||
| `7/8` | `1.14 < a < 2.29` | `2` | `7/8 - 1/2 = 3/8` | — | * |
| mianownik 9 | |||||
| `2/9` | `4.5 < a < 9` | `8` | `2/9 - 1/8 = 7/72` | — | |
| `7` | `2/9 - 1/7 = 5/63` | — | |||
| `6` | `2/9 - 1/6 = 1/18` | `2/9 = 1/6 + 1/18` | |||
| `5` | `2/9 - 1/5 = 1/45` | `2/9 = 1/5 + 1/45` | |||
| `4/9` | `2.25 < a < 4.5` | `4` | `4/9 - 1/4 = 7/36` | — | |
| `3` | `4/9 - 1/3 = 1/9` | `4/9 = 1/3 + 1/9` | |||
| `5/9` | `1.8 < a < 3.6` | `3` | `5/9 - 1/3 = 2/9` | — | |
| `2` | `5/9 - 1/2 = 1/18` | `5/9 = 1/2 + 1/18` | |||
| `7/9` | `1.29 < a < 2.57` | `2` | `7/9 - 1/2 = 5/18` | — | * |
| `8/9` | `1.13 < a < 2.25` | `2` | `8/9 - 1/2 = 7/18` | — | * |
| mianownik 10 | |||||
| `3/10` | `3.33 < a < 6.67` | `6` | `3/10 - 1/6 = 2/15` | — | |
| `5` | `3/10 - 1/5 = 1/10` | `3/10 = 1/5 + 1/10` | |||
| `4` | `3/10 - 1/4 = 1/20` | `3/10 = 1/4 + 1/20` | |||
| `7/10` | `1.43 < a < 2.86` | `2` | `7/10 - 1/2 = 1/5` | `7/10 = 1/2 + 1/5` | |
| `9/10` | `1.11 < a < 2.22` | `2` | `9/10 - 1/2 = 2/5` | — | * |
| mianownik 11 | |||||
| `2/11` | `5.5 < a < 11` | `10` | `2/11 - 1/10 = 9/110` | — | |
| `9` | `2/11 - 1/9 = 7/99` | — | |||
| `8` | `2/11 - 1/8 = 5/88` | — | |||
| `7` | `2/11 - 1/7 = 3/77` | — | |||
| `6` | `2/11 - 1/6 = 1/66` | `2/11 = 1/6 + 1/66` | |||
| `3/11` | `3.67 < a < 7.33` | `7` | `3/11 - 1/7 = 10/77` | — | |
| `6` | `3/11 - 1/6 = 7/66` | — | |||
| `5` | `3/11 - 1/5 = 4/55` | — | |||
| `4` | `3/11 - 1/4 = 1/44` | `3/11 = 1/4 + 1/44` | |||
| `4/11` | `2.75 < a < 5.5` | `5` | `4/11 - 1/5 = 9/55` | — | |
| `4` | `4/11 - 1/4 = 5/44` | — | |||
| `3` | `4/11 - 1/3 = 1/33` | `4/11 = 1/3 + 1/33` | |||
| `5/11` | `2.2 < a < 4.4` | `4` | `5/11 - 1/4 = 9/44` | — | * |
| `3` | `5/11 - 1/3 = 4/33` | — | |||
| `6/11` | `1.83 < a < 3.67` | `3` | `6/11 - 1/3 = 7/33` | — | |
| `2` | `6/11 - 1/2 = 1/22` | `6/11 = 1/2 + 1/22` | |||
| `7/11` | `1.57 < a < 3.14` | `3` | `7/11 - 1/3 = 10/33` | — | * |
| `2` | `7/11 - 1/2 = 3/22` | — | |||
| `8/11` | `1.38 < a < 2.75` | `2` | `8/11 - 1/2 = 5/22` | — | * |
| `9/11` | `1.22 < a < 2.44` | `2` | `9/11 - 1/2 = 7/22` | — | * |
| `10/11` | `1.1 < a < 2.2` | `2` | `10/11 - 1/2 = 9/22` | — | * |
| mianownik 12 | |||||
| `5/12` | `2.4 < a < 4.8` | `4` | `5/12 - 1/4 = 1/6` | `5/12 = 1/4 + 1/6` | |
| `3` | `5/12 - 1/3 = 1/12` | `5/12 = 1/3 + 1/12` | |||
| `7/12` | `1.71 < a < 3.43` | `3` | `7/12 - 1/3 = 1/4` | `7/12 = 1/3 + 1/4` | |
| `2` | `7/12 - 1/2 = 1/12` | `7/12 = 1/2 + 1/12` | |||
| `11/12` | `1.09 < a < 2.18` | `2` | `11/12 - 1/2 = 5/12` | — | * |
Gwiazdka w ostatniej kolumnie oznacza, że rozkład na dwa składniki nie istnieje i należy odszukać ułamek w następnej tabeli.