Continued Fraction
Expand a number and its best rational approximations
Expand a number and its best rational approximations
| k | pₖ / qₖ | Decimal | Error |
|---|---|---|---|
| 0 | 3/1 | 3 | 0.142 |
| 1 | 22/7 | 3.1428571429 | 0.00126 |
| 2 | 333/106 | 3.141509434 | 0.0000832 |
| 3 | 355/113 | 3.1415929204 | 0.000000267 |
| 4 | 103993/33102 | 3.141592653 | 0.000000000578 |
| 5 | 104348/33215 | 3.1415926539 | 0.000000000332 |
| 6 | 208341/66317 | 3.1415926535 | 0.000000000122 |
| 7 | 312689/99532 | 3.1415926536 | 0.0000000000291 |