Algebraic fractions

 

       Complex fractions such as    

     can be  simplified using the multiplicative identity

 

 

 

 

 

                   

 

 

 

 

 

 

·      Multiply the numerator and denominator of the fraction by the LCM.

 

 

             

 

·      Then expand brackets, factorise and simplify as usual.

 

                

 

 

     Examples

 

      1.  

                                                                

 

    2.

                                                                                                                                     

                 

                

 

 

  3.

   

                          

 

 

 

 

Alternatively, by using a combination of

vedic fraction addition and the alternative

method of fraction division :

 

1.

 

 

 

  2.      

                        

 

 

3.