# Wolfram Language & System 10.0 (2014)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
WOLFRAM LANGUAGE GUIDE

# Continued Fractions & Rational Approximations

Continued fractions can be thought of as an alternative to digit sequences for representing numbers, based on division rather than multiplication by a base. Studied occasionally for at least half a millennium, continued fractions have become increasingly important through their applications to dynamical systems theory and number theoretic algorithms. The Wolfram Language has highly efficient original algorithms for finding large numbers of terms in continued fractions, as well as for handling exact continued fractions for quadratic irrationals.

## Learning ResourcesLearning Resources

### Tutorials

Related Web Resources

Demonstrations

## ReferenceReference

ContinuedFraction continued fraction expansion

FromContinuedFraction construct exact or inexact numbers from continued fractions

Convergents a list of successive convergents of a continued fraction

Rationalize find rational approximations