Express 5/7 as a continued fraction
In decimal terms, = 0.71428571428571
Continued Fraction Table
| Start | Integer | Decimal Portion Start - Integer | Reciprocal: 1 ÷ Decimal |
|---|---|---|---|
| 0.71428571428571 | 0 | 0.714 | 1.4006 |
| 1.4006 | 1 | 0.401 | 2.4938 |
| 2.4938 | 2 | 0.494 | 2.0243 |
| 2.0243 | 2 | 0.024 | 41.6667 |
| 41.6667 | 41 | 0.667 | 1.4993 |
| 1.4993 | 1 | 0.499 | 2.004 |
| 2.004 | 2 | 0.004 | 250 |
| 250 | 250 | 0 |
Stop when the difference portion = 0
Use the Integer Column
[0; 1, 2, 2, 41, 1, 2, 250]
What is the Answer?
[0; 1, 2, 2, 41, 1, 2, 250]
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,...
