# ContinuedFraction Command

From GeoGebra Manual

Revision as of 19:07, 25 June 2012 by Andrea.duringer (talk | contribs)

This page is about a feature that is supported only in GeoGebra 4.2. |

- ContinuedFraction[ <Number> ]
- Creates continued fraction of given number. The result is a LaTeX text object. The fraction is computed numerically within precision 10
^{-8}.

**Example:**

`ContinuedFraction[5.45]`

gives
*5 + \frac{1}{ 2+ \frac{1}{4+ \frac{1}{ 1+ \frac{1}{ 1 } } } }*

- ContinuedFraction[ <Number>, <Level> ]
- Creates continued fraction of given number. Number of quotients is less than or equal to
*Level*, but never exceeds the number of quotients needed to achieve the precision mentioned above. - ContinuedFraction[ <Number>, <Level (optional)>, <Shorthand true|false> ]
- Meaning of first two arguments is same as above. When
*Shorthand*is true, shorter syntax for the result is used: the LaTeX text contains a list of the integer parts of the continued fraction.

**Example:**

`ContinuedFraction[5.45, true]`

gives [5; 2, 4, 1, 1]