Answer
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[0; 1, 13, 1, 8]
↓Steps Explained:↓
Express 14/15 as a continued fraction
In decimal terms, = 0.93333333333333
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.93333333333333 | 0 | 0.933 | 1.0718 |
| 1.0718 | 1 | 0.072 | 13.8889 |
| 13.8889 | 13 | 0.889 | 1.1249 |
| 1.1249 | 1 | 0.125 | 8 |
| 8 | 8 | 0 |
Stop when the difference portion = 0
Use the Integer Column
[0; 1, 13, 1, 8]Take the Quiz
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