 # Decimal to Continued Fraction Calculator

Input decimal number and press calculate button to convert that number into continued fraction

Formula:
$$\frac{1}{2+\frac{1}{6+\frac{1}{....}}}$$

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## 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]

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