Express 9/16 as a continued fraction
In decimal terms, = 0.5625
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.5625 | 0 | 0.563 | 1.7762 |
| 1.7762 | 1 | 0.776 | 1.2887 |
| 1.2887 | 1 | 0.289 | 3.4602 |
| 3.4602 | 3 | 0.46 | 2.1739 |
| 2.1739 | 2 | 0.174 | 5.7471 |
| 5.7471 | 5 | 0.747 | 1.3387 |
| 1.3387 | 1 | 0.339 | 2.9499 |
| 2.9499 | 2 | 0.95 | 1.0526 |
| 1.0526 | 1 | 0.053 | 18.8679 |
| 18.8679 | 18 | 0.868 | 1.1521 |
| 1.1521 | 1 | 0.152 | 6.5789 |
| 6.5789 | 6 | 0.579 | 1.7271 |
| 1.7271 | 1 | 0.727 | 1.3755 |
| 1.3755 | 1 | 0.376 | 2.6596 |
| 2.6596 | 2 | 0.66 | 1.5152 |
| 1.5152 | 1 | 0.515 | 1.9417 |
| 1.9417 | 1 | 0.942 | 1.0616 |
| 1.0616 | 1 | 0.062 | 16.129 |
| 16.129 | 16 | 0.129 | 7.7519 |
| 7.7519 | 7 | 0.752 | 1.3298 |
| 1.3298 | 1 | 0.33 | 3.0303 |
| 3.0303 | 3 | 0.03 | 33.3333 |
| 33.3333 | 33 | 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 |
Stop when the difference portion = 0
Use the Integer Column
[0; 1, 1, 3, 2, 5, 1, 2, 1, 18, 1, 6, 1, 1, 2, 1, 1, 1, 16, 7, 1, 3, 33, 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]
What is the Answer?
[0; 1, 1, 3, 2, 5, 1, 2, 1, 18, 1, 6, 1, 1, 2, 1, 1, 1, 16, 7, 1, 3, 33, 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]
How does the Continued Fraction Calculator work?
Free Continued Fraction Calculator - Shows the continued fraction for a fraction
This calculator has 1 input.
This calculator has 1 input.
What 2 formulas are used for the Continued Fraction Calculator?
Decimal Portion = Start - Integer
Reciprocal = 1 / Decimal Portion
Reciprocal = 1 / Decimal Portion
What 4 concepts are covered in the Continued Fraction Calculator?
- continued fraction
- a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
- decimal
- Number in the form a/b where the result is not a whole number
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...
Example calculations for the Continued Fraction Calculator
- Continued Fraction 1/2
- Continued Fraction 1/3
- Continued Fraction 1/4
- Continued Fraction 1/5
- Continued Fraction 1/6
- Continued Fraction 1/7
- Continued Fraction 1/8
- Continued Fraction 1/9
- Continued Fraction 1/10
- Continued Fraction 1/11
- Continued Fraction 1/12
- Continued Fraction 1/13
- Continued Fraction 1/14
- Continued Fraction 1/15
- Continued Fraction 1/16
- Continued Fraction 2/3
- Continued Fraction 2/4
- Continued Fraction 2/5
- Continued Fraction 2/6
- Continued Fraction 2/7
- Continued Fraction 2/8
- Continued Fraction 2/9
- Continued Fraction 2/10
- Continued Fraction 2/11
- Continued Fraction 2/12
- Continued Fraction 2/13
- Continued Fraction 2/14
- Continued Fraction 2/15
- Continued Fraction 2/16
- Continued Fraction 3/4
- Continued Fraction 3/5
- Continued Fraction 3/6
- Continued Fraction 3/7
- Continued Fraction 3/8
- Continued Fraction 3/9
- Continued Fraction 3/10
- Continued Fraction 3/11
- Continued Fraction 3/12
- Continued Fraction 3/13
- Continued Fraction 3/14
- Continued Fraction 3/15
- Continued Fraction 3/16
- Continued Fraction 4/5
- Continued Fraction 4/6
- Continued Fraction 4/7
- Continued Fraction 4/8
- Continued Fraction 4/9
- Continued Fraction 4/10
- Continued Fraction 4/11
- Continued Fraction 4/12
- Continued Fraction 4/13
- Continued Fraction 4/14
- Continued Fraction 4/15
- Continued Fraction 4/16
- Continued Fraction 5/6
- Continued Fraction 5/7
- Continued Fraction 5/8
- Continued Fraction 5/9
- Continued Fraction 5/10
- Continued Fraction 5/11
- Continued Fraction 5/12
- Continued Fraction 5/13
- Continued Fraction 5/14
- Continued Fraction 5/15
- Continued Fraction 5/16
- Continued Fraction 6/7
- Continued Fraction 6/8
- Continued Fraction 6/9
- Continued Fraction 6/10
- Continued Fraction 6/11
- Continued Fraction 6/12
- Continued Fraction 6/13
- Continued Fraction 6/14
- Continued Fraction 6/15
- Continued Fraction 6/16
- Continued Fraction 7/8
- Continued Fraction 7/9
- Continued Fraction 7/10
- Continued Fraction 7/11
- Continued Fraction 7/12
- Continued Fraction 7/13
- Continued Fraction 7/14
- Continued Fraction 7/15
- Continued Fraction 7/16
- Continued Fraction 8/9
- Continued Fraction 8/10
- Continued Fraction 8/11
- Continued Fraction 8/12
- Continued Fraction 8/13
- Continued Fraction 8/14
- Continued Fraction 8/15
- Continued Fraction 8/16
- Continued Fraction 9/10
- Continued Fraction 9/11
- Continued Fraction 9/12
- Continued Fraction 9/13
- Continued Fraction 9/14
- Continued Fraction 9/15
- Continued Fraction 9/16
- Continued Fraction 10/11
- Continued Fraction 10/12
- Continued Fraction 10/13
- Continued Fraction 10/14
- Continued Fraction 10/15
- Continued Fraction 10/16
- Continued Fraction 11/12
- Continued Fraction 11/13
- Continued Fraction 11/14
- Continued Fraction 11/15
- Continued Fraction 11/16
- Continued Fraction 12/13
- Continued Fraction 12/14
- Continued Fraction 12/15
- Continued Fraction 12/16
- Continued Fraction 13/14
- Continued Fraction 13/15
- Continued Fraction 13/16
- Continued Fraction 14/15
- Continued Fraction 14/16
- Continued Fraction 15/16
