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]
What is the Answer?
[0; 10, 1, 90, 1, 10]
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,...
