Page 49 - SM Class 5 Inner.cdr
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2. The product of three or          more fractional numbers does not change even if we
                 change their groups.

                               1    æ 1   2ö    1     2      2     æ 1   1 ö    2    1     2     2
                                  ´  ç  ´   ÷  =   ´     =       =  ç  ´    ÷  ´  =     ´    =
                               4    è 5   7ø    4    35    140     è 4    5ø    7   20     7    140

             3.   The product of a rational number and 0 is always 0.

                                        2
                                   a.      ´  0 =  0
                                       15
                                        1         13
                                   b.  3   ´  0 =     ´ 0 =  0
                                         4         4

             4.   The product of a fractional numbers and 1 is the fractional numbers itself.
                                        7        7 1       7
                                                    ´
                                   a.      ´ 1 =        =
                                       27         27      27

                                         2       47         47 1       47      2
                                                                ´
                                   b. 5    ´ 1 =     ´ 1 =          =      =  5
                                        9         9            9       9       9
             5.    When the product of two fractions is 1, both are the multiplicative inverse each
                   other.

                                          3    8
                                             ´    = 1
                                          8    3

                             3     8
                     Hence  and  are multiplicative inverse of each other.
                            8      3



                                             2   3   4
                 Example 3 :    Simplify :    ´    ´
                                             3   8   7

                                                           ´
                                                       ´
                                         2   3   4    2 3 4       1
                 To simplify               ´   ´   =           =
                                                       ´
                                                           ´
                                         3   8   7    3 8 7      7


                                                1     1
                  Example :      Simplify :    1 ´  2
                                                2    3

                                               3   7   7     1
                  To simplify                     ´  =   =  3
                                               2   3   2     2











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