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:

**
Example
**
:

Obtain the approximant of continued fraction

Answer:

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

This tutorial is copyrighted .

**
Preferable reference for this tutorial is
**

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