Answer
[0; 1, 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, 3, 333, 3, 333]
↓Steps Explained:↓
Express 6/8 as a continued fraction
In decimal terms, = 0.75
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.75 | 0 | 0.75 | 1.3333 |
| 1.3333 | 1 | 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 |
| 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; 1, 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, 3, 333, 3, 333]Related Calculators: Percentage-Decimal-Fraction Relations | Int Function | Truncate