Page 82 - Math Course 1 (Book 1)
P. 82

Solving Fractions

           Mo. 2

           Lesson 6                                        Multiply Negative Fractions



                                                           Example

          KEY CONCEPTS:
          1. Multiple positive and negative fractions.     Find -  1    2  Write the product in simplest
                                                                        7
                                                                   4
          2. Use dimensional analysis to solve             form.
              problems.                                       1    2    1   2  1
                                                            -         =         Divide 2 and 4 by their GCF, 2.
                                                              4    7    4   7
                                                                      2
         MO. 2 - L6a                                                 =-  1  1   Multiply the numerators and
                                                                        2   7   multiply the denominators.
              Multiplying Rational
                        Numbers                               Answer         --  1  Simplify

                                                                              14
         Key Concept

                                                           Multiply Mixed Numbers
         Multiplying Fractions
                                                           Example
         Words To multiply fractions, multiply the numerators
                and multiply the denominators.
                                                             Find  1  1  • 3  2  Write the product in simplest
         Symbols   a     c  =  a  c  , where b, d = 0        form.   2     3
                   b    d    b  d                                                          1     3
                                                                                         1
                                                            1  1  3  2  =  3  11  Rename           as        and
                                                                                           2
                                                                                                 2
                    1    2   1    2  2                        2     3   2    3
         Example           =      or                                                       2     11
                    3    5   3    5  15                                          rename             as
                                                                                         3
                                                                                           3      3
                                                                        1 3  11
                                                                      =          Divide by the GCF, 3.
                                                                        2    3 1
                   Let’s Begin                                        =  1    11  Multiply.
                                                                         2    11

                                                                             11     1
                                                               Answer          or 5    Simplify.
        Multiply Fractions                                                   2      2


         Example                                            Your Turn!


                                                           Multiply Fractions
            2    5  Find Write the product in simplest form
            5    8                                         Write Repeating Decimals as Fractions
                                                                   3    2
            2    5  =  2    5  Multiply the numerators.     Find   8    9  Write the product in simplest form.
            5    8  5    8    Multiply the denominators.
                                                            A.  5    C.  1
                                                                72       12

                                                                6        6
                                                            B.       D.
                        10    1   Simplify. The GCF of          72       63
            Answer         or
                        40    4   10 and 40 is 10.
                                                             Answer


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