Text Box: For improved viewing, click on the equations.  Click again to return viewing to normal. Sylvester's method

 

 

Sylvester's method provides a simple way to convert any proper fraction to a series of unit fractions.               

 

 

 

In the first example the second and final unit fraction occurred on the first application of Sylvester's method. 
More often the method is applied recursively until a one appears in the final numerator.

 

 

 

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