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•  Simplifying fractions   • •  •••                                                                              57

                                                []]   Simplify these fractions.
                                                    8        25   d  1Q
                                                   a m   d   c  100   15
                                                    12       21   h ~
                                                   e 15   f  ~   g  28   100
                                                   .  30   4   k  ~   I  :1Q
                                                   I  36   j  16   32   48
                                                 ~ Choose 3 fractions, then simplify t hem.
                                                 @]   Simplify these fractions.
                                                   Then show them as mixed numbers.
                                                                       A mixed number is written
                                                   a ~   big   c]3   d1f   as o mixture of whole numbers
                                                                       and fractions.  For example,  1 ~.
                                                                     1  2  3  4  5  6
                                                                     7  8  9  10  11  12
                                                                     13  14  15  16  17  18
                                                                     19  20  21  22  23  24
                                                                     25  26  27  28  29  30
                                                                    31  32  33  34  35  36
                                                                     37  38  39  40  41  42
                                                                    43  44  45  46  47  48
                                                   What fraction of the numbers
                                                   on the grid are:
                                                   a  multiples of 4   b  factors of 24   c  prime numbers
                                                   d  square numbers   e  triangular numbers   f  even and multiples of 3?
                                                SJ                              j,,,, •• ,2.f
        DJ                                                                                 DJ                                    cg]

        a   .!:!__   b   l_       c   l_        d   2_       e   .!:!__   f   L            a  0·5       b  0·4 (x 2)             a  0·8       b  0·04      c  0·35
           5            3            4            3            5           10
        g   -3._     h   -3.__       _Q__         l_         k   -3._      l_              c  0· 15 (x 5)  d  0· 1 25  (x  1 25)   d  0·02    e  0·32      f  0·55
           4            10           6            4            4           3
        cg]
                                                                                           I   I   8   7   11   .!:!__           a  1 ·6      b  3·16     c  5-65
        Open: choosing three fractions and simplifying them.
                                                                                           50  '  25  '  25  '  20 '  20 '  5
        ~                                                                                          l_   =  0·125
                                                                                                   8
        a   -3._ _  11-  b   .!:!__  - 11-  C   Q_ _  11-  d   u _ 2.3._                           2_   =  0·25                  Practical: using a calculator to
                                                                                                   8
           2  -  2         3  -  3          5  -  5          4  -  4
                                                                                                   -3._   =  0·375               check answers.
                                                                                                   8
                                                                                                   .!:!__   =  0·5
                                                                                                   8
        a  1-        b  l_        c  _5_        d  l_        e  -3.__    f  l_                     _Q__   =  0·625
           4            6            16           8            16          6                       8
                                                                                                   Q_   =  0·75
                                                                                                   8
                                                                                                   ]_
                                                                                                   8   =  0·875
                                                                                                   .8-  =  1·0
                                                                                                   8
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