A Continued Fraction Calculator version 4Oct10

This interactive calculator page accompanies a full explanation of Continued Fractions.

4Oct10 update:
New input functions: Fibonacci, Lucas and General Fibonacci functions see below
Optionally hide the More about this Continued Fraction information box to make more room for the Results area
Two new buttons: to reverse a (finite, non recurring) CF; to invert it (include/remove a 0 from the front)

Try these examples... Select one. Input boxes will then be filled in for you. Press the ARROW button that is highlighted to do the conversion.

C A L C U L A T O R

Fraction:

Continued Fraction:

Decimal number:

The Mathematical functions and constants available in the "Decimal" box are:

Name	Description	Eg
abs	the absolute value (size) of a number	abs(-3.9)=3.9
acos	arc cosine	acos(0.5)=1.047197551196598=60° in radians
asin	arc sine	asin(sqrt(3)/2)=1.047197551196598=60° in radians
atan	arc tangent	4 * atan(1)=3.141592653589793=90°= Pi radians
ceil	round up to the nearest integer	ceil(-3.9)=-3,ceil(2.1)=3
cos	cosine of an angle (in radians)	cos(60*Pi/180)=0.5
E	e	e=2.718281828459045
exp	e to the power of	exp(1)=2.718281828459045
floor	round down to the nearest integer	floor(-3.9)=-4,floor(2.1)=2
log	log to base e	log(E)=1,log(sqrt(E))=0.5
Phi	golden section	Phi=1.618033988749895
phi	golden section	phi=0.618033988749895
Pi	pi	pi=3.141592653589793
pow	pow(x,p) is x^p	pow(2,3)=8
random	a random number between 0 and 1	random()=0.42190062543
round	round to the nearest integer	round(-3.9)=-4, round(3.9)=4
sin	sine of an angle (in radians)	sin(Pi/2)=1
sqrt	square root	sqrt(2)=1.414213562373095
tan	tangent of an angle (in radians)	tan(Pi/4)=1
fib, Fib or F	Fib(n) is the n-th Fibonacci number	F(4)=3,F(-5)=5
luc, Luc or L	Luc(n) is the n-th Lucas number	Luc(0)=2,Luc(1)=1
G	G(a,b,n) is the n-th General Fibonacci number where G(a,b,0)=a,G(a,b,1)=b	G(0,1,n)=F(n),G(2,1,n)=L(n)