Decimal to Continued Fraction Calculator
Input decimal number and press calculate button to convert that number into continued fraction
Decimal to Continued Fraction Calculator
A decimal to continued fraction calculator is used to convert a decimal number into a continued fraction.
What is the decimal number?
Decimal is a way of expressing non-whole numbers or integers. A decimal number is one that has ten digits (0-9) to represent all possible values.
What is a Continued Fraction?
A representation of decimal and fractional numbers as a sequence of integers in which integers are represented as a partial quotient is said to be a continued fraction.
Formula of decimal to continued fraction conversion
$$a_0+\frac{1}{a_1+\frac{1}{a_2+\frac{1}{a_3+\frac{1}{....}}}}$$
Examples of Decimal to Continued Fraction
| Continued Fraction Of | Continued Fraction |
| 5.4568 | Integers: [5; 2,5,3,2,14,1] |
| 11.234 | Integers: [11; 4,3,1,1,1,10] |
| 501.123 | Integers: [501; 8,7,1,2,5] |
| 634.8765 | integers: [634; 1,7,10,3,2,2,1] |