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Add	
  Frac(ons	
  With	
  Unlike	
  Denominators	
  
                                                                      1 3
                                                 Example:	
  	
  	
   5 + 4
To	
  add	
  frac)ons	
  with	
  different	
  denominators,	
  convert	
  them	
  
      so	
  they	
  have	
  the	
  same	
  denominators.	
  	
  
                                                    €
1.  Find	
  the	
  least	
  common	
  denominator	
  (LCD),	
  which	
  is	
  the	
  
           least	
  common	
  mul)ple	
  of	
  the	
  denominators.	
  
  	
   	
   	
   	
  Mul)ples	
  of	
  5:	
  5,	
  10,	
  15,	
  20	
  	
  
  	
   	
   	
   	
  Mul)ples	
  of	
  4:	
  4,	
  8,	
  10,	
  12,	
  16,	
  20	
  	
  
2.  Rename	
  the	
  frac)ons	
  using	
  the	
  least	
  common	
  
           denominator.	
  	
   1 4 4
                                             ×        =
                                         5 4   20
                                         3 5 15
                                          ×  =
                                         4 5   20
3.        Add	
  the	
  numerators.	
  	
  	
  	
  	
  +	
  _____                                      	
  	
  	
  
                                                                    	
  	
  	
  	
  	
  	
  	
  	
  	
  

                                                             19
      	
  Reduce	
  if	
  necessary.	
                       20
                       €

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Add Fraction Ex

  • 1. Add  Frac(ons  With  Unlike  Denominators   1 3 Example:       5 + 4 To  add  frac)ons  with  different  denominators,  convert  them   so  they  have  the  same  denominators.     € 1.  Find  the  least  common  denominator  (LCD),  which  is  the   least  common  mul)ple  of  the  denominators.          Mul)ples  of  5:  5,  10,  15,  20            Mul)ples  of  4:  4,  8,  10,  12,  16,  20     2.  Rename  the  frac)ons  using  the  least  common   denominator.     1 4 4 × = 5 4 20 3 5 15 × = 4 5 20 3.  Add  the  numerators.          +  _____                         19  Reduce  if  necessary.   20 €