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CHAPTER 2 Introduction to Variables                                           41




                          Operations on Fractions with Variables


            Multiplication of fractions with variables is done in exactly the same way as
            multiplication of fractions without variables—multiply the numerators and
            multiply the denominators.



                 Examples

                  7 3x    21x
                        ¼
                 10 4      40
                 24 3      24   3  12   3  36
                        ¼        ¼      ¼
                 5y 14    5y   14  5y   7  35y
                 34x 3     34x   3  17x   1  17x
                         ¼        ¼        ¼
                  15 16    15   16   5   8    40


                 Practice

                     4x 2
                 1:       ¼
                     9 7

                     2 6y
                 2:        ¼
                     3x 5
                     18x   2
                 3:           ¼
                     19 11x

                     5x 4y
                 4:        ¼
                     9   3


                 Solutions

                     4x 2    8x
                 1:       ¼
                     9 7     63

                     2 6y     2   6y  2   2y  4y
                 2:        ¼       ¼       ¼
                     3x 5     3x   5  x   5  5x
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