Answer
Success!
[0; 2, 1, 1, 2, 13, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333]
↓Steps Explained:↓
Express 5/13 as a continued fraction
In decimal terms, = 0.38461538461538
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.38461538461538 | 0 | 0.385 | 2.5974 |
| 2.5974 | 2 | 0.597 | 1.675 |
| 1.675 | 1 | 0.675 | 1.4815 |
| 1.4815 | 1 | 0.482 | 2.0747 |
| 2.0747 | 2 | 0.075 | 13.3333 |
| 13.3333 | 13 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
| 3.003 | 3 | 0.003 | 333.3333 |
| 333.3333 | 333 | 0.333 | 3.003 |
Stop when the difference portion = 0
Use the Integer Column
[0; 2, 1, 1, 2, 13, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333]Take the Quiz
Related Calculators: Percentage-Decimal-Fraction Relations | Int Function | Truncate