Page 40 - MarceAlgebra Demystified
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CHAPTER 1 Fractions                                                           27



                   2    1       2        1               2  1
                                              ð
                  4 þ 3 ¼ 4 þ     þ 3 þ    ¼ 4 þ 3Þ þ    þ
                   3    2       3        2              3  2
                                4   3       7          1    1

                         ¼ 7 þ   þ    ¼ 7 þ ¼ 7 þ 1 þ ¼ 8
                                6   6       6          6    6
            The other way is to convert the mixed numbers into improper fractions then
            add.
                           14   7   28   21   49
                   2    1                            1
                 4 þ 3 ¼      þ ¼      þ    ¼    ¼ 8
                   3    2   3   2    6    6    6     6
                 Practice

                      3
                 1: 2 þ 1  1
                      7    2
                 2: 2  5  þ 1 11
                      16   12
                      5
                 3: 4 þ 1  2
                      6    3
                      4
                 4: 3   1  1
                      9    6
                      3  5
                 5: 2 þ
                      4  6
                      2
                 6: 4 þ 2  1
                      3    5
                 7: 5  1    3 3
                      12   8


                 Solutions


                              17   3   34   21   55
                      3    1                            13
                 1: 2 þ 1 ¼      þ ¼      þ    ¼    ¼ 3
                      7    2   7   2   14   14   14     14
                                37   23   111   92   203
                 2: 2  5  þ 1 11  ¼  þ  ¼     þ    ¼     ¼ 4  11
                      16   12   16   12   48    48   48      48
                              29   5   29   10   39   13
                      5    2                                 1
                 3: 4 þ 1 ¼      þ ¼      þ    ¼    ¼    ¼ 6
                      6    3   6   3    6    6    6    2     2
                              31   7   62   21   41
                      4    1                            5
                 4: 3   1 ¼        ¼           ¼    ¼ 2
                      9    6   9   6   18   18   18     18
                             11   5   33   10   43
                      3  5                             7
                 5: 2 þ ¼       þ ¼     þ    ¼     ¼ 3
                      4  6   4    6   12   12   12    12
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