Express 3/11 as a continued fraction
In decimal terms, = 0.27272727272727
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.27272727272727 | 0 | 0.273 | 3.663 |
| 3.663 | 3 | 0.663 | 1.5083 |
| 1.5083 | 1 | 0.508 | 1.9685 |
| 1.9685 | 1 | 0.969 | 1.032 |
| 1.032 | 1 | 0.032 | 31.25 |
| 31.25 | 31 | 0.25 | 4 |
| 4 | 4 | 0 |
Stop when the difference portion = 0
Use the Integer Column
[0; 3, 1, 1, 1, 31, 4]
What is the Answer?
[0; 3, 1, 1, 1, 31, 4]
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
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