How do we Compute Continued Fraction

By Kardi Teknomo, PhD .


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To calculate the convergence of continued fraction, the simplest hand calculation is using bottom up approach where we compute only two elements at the time from the right of condense notation, using formula:

Continued Fraction

Example :

Obtain the approximant of continued fraction Continued Fraction

Answer:

Continued Fraction

Try to use Continued Fraction Calculator below. Synthesis button converts the continued fraction to into the approximant. Analysis button converts the decimal value into continued frcation.

Continued Fraction Calculator

Select a well-known constants or type your numbers Decimal Number Continued Fraction

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This tutorial is copyrighted .

Preferable reference for this tutorial is

Teknomo, Kardi (2015) Continued Fraction. http://people.revoledu.com/kardi/tutorial/ContinuedFraction/index.html