Answer
[0; 10, 1, 90, 1, 10]
↓Steps Explained:↓
Express 1/11 as a continued fraction
In decimal terms, = 0.090909090909091
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.090909090909091 | 0 | 0.091 | 10.989 |
| 10.989 | 10 | 0.989 | 1.0111 |
| 1.0111 | 1 | 0.011 | 90.9091 |
| 90.9091 | 90 | 0.909 | 1.1001 |
| 1.1001 | 1 | 0.1 | 10 |
| 10 | 10 | 0 |
Stop when the difference portion = 0
Use the Integer Column
[0; 10, 1, 90, 1, 10]Related Calculators: Percentage-Decimal-Fraction Relations | Int Function | Truncate