ContinuedFraction Command

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.

Example:

ContinuedFraction[5.45, 3] gives 5 + \frac{1}{ 2+ \frac{1}{4+ ... } }

ContinuedFraction[ <Number>, <Level>, <Shorthand true|false> ]

Meaning of first two arguments is same as above, the argument Level is optional. 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.

Examples:

• ContinuedFraction[5.45, true] gives [5; 2, 4, 1, 1]
• ContinuedFraction[5.45, 3, true] gives [5; 2, 4, ...]