 # Continued Fraction for 11/13

Express 11/13 as a continued fraction

In decimal terms, = 0.84615384615385
Start NumberInteger NumberDecimal Portion = Start - IntegerReciprocal =1 ÷ Decimal Portion
0.8461538461538500.8461.182
1.18210.1825.4945
5.494550.4952.0202
2.020220.0250
50500

We stop when the difference portion = 0, and use the Integer Column for our representation:
Our continued fraction representation is: [0; 1, 5, 2, 50]

Our continued fraction representation is: [0; 1, 5, 2, 50]

### How does the Continued Fraction Calculator work?

Shows the continued fraction for a fraction
This calculator has 1 input.

### What 2 formulas are used for the Continued Fraction Calculator?

1. Decimal Portion = Start - Integer
2. Reciprocal = 1 / Decimal Portion

For more math formulas, check out our Formula Dossier

### 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,...