Continued fraction/Arithmetic

By popular demand, see http://rosettacode.org/wiki/Talk:Continued_fraction#creating_a_continued_fraction and http://rosettacode.org/wiki/Talk:Continued_fraction#Arithmetics.3F.3F, or be careful what you ask for.

This page is a placeholder for several subtasks which will eventually implement a function:

G(matrix NG, Continued Fraction N1, Continued Fraction N2)

which will perform basic mathmatical operations on continued fractions.

For these tasks continued fractions will be of the form:

$a_{0}+{\cfrac {1}{a_{1}+{\cfrac {1}{a_{2}+{\cfrac {1}{a_{3}+\ddots }}}}}}$

so each may be described by the notation [$a_{0};a_{1},a_{2},...,a_{n}$]

Subtasks:

• [Create a continued fraction from a rational number]
• Investigate matrix NG
• Investigate G(matrix NG, Contined Fraction N)
• The complete solution G(matrix NG, Continued Fraction N1, Continued Fraction N2)
• Compare two continued fractions