Answer
[0; 1, 2, 4, 1, 12, 2]
↓Steps Explained:↓
Express 11/16 as a continued fraction
In decimal terms, = 0.6875
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.6875 | 0 | 0.688 | 1.4535 |
| 1.4535 | 1 | 0.454 | 2.2026 |
| 2.2026 | 2 | 0.203 | 4.9261 |
| 4.9261 | 4 | 0.926 | 1.0799 |
| 1.0799 | 1 | 0.08 | 12.5 |
| 12.5 | 12 | 0.5 | 2 |
| 2 | 2 | 0 |
Stop when the difference portion = 0
Use the Integer Column
[0; 1, 2, 4, 1, 12, 2]Related Calculators: Percentage-Decimal-Fraction Relations | Int Function | Truncate