Addition And Subtraction Of Rational Fractions

                    Lesson 1

                                                                                            

                                                            Problem:                   Solve the problem. Express the result in a + bi form.

 

 y/4 + 2y/8 

                                                            Solution                    Factor all the given values and find the least common denominator

Step 1:  

                     

                                                                                Solution                          Multiply the numerators and the denominators by the appropriate denominator

Step 2:                        so that the denominator becomes the least common denominator i.e.  

 

                                                                                    (2y+2y)/8

 

                                                                                Solution                          Add the numerator i.e. 4y/8 = y/2

Step 3:           

         

Solution                          Since the fraction cannot be factored further.

Step 3:           

    

                                                            Solution                    The answer is: y/2

 Step 3:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

Solve the following rational fractions. 

A.

1/5 + 4/15 - 2/5

B.

6/16 – 4/16

 

 

        

 

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