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                2.  Which of the following are improper fractions?

                    (a)   4              (b)   3             (c)   5              (d)   9              (e)   15
                         9                    2                    7                   11                   4
                3.  Which of the following are unit fractions?

                         9                1               4                1               3              1
                    (a)             (b)              (c)             (d)              (e)             (f)
                         10               5               8                9               7               8
                4.  Convert the following improper fractions into mixed fractions.

                    (a)   9                         (b)   12                         (c)   19
                         5                                7                               15

                    (d)   30                        (e)   20                          (f)   24
                         12                              13                                5
                5.  Convert the following mixed fractions into improper fractions.

                           1                               1                                  2
                    (a)  8                          (b)  7                           (c)  10
                           2                               3                                  3
                           1                               1                                1
                    (d)  4                          (e)  5                            (f)  9
                           4                               5                                7
                6.  Fill in the boxes with the correct numbers in each of the following.

                          3                        4    32                        26                5
                    (a)  3 =                (b)  4   =               (c)  8     =            (d)  4 =
                          5     5                  7                        3      3                6     6

              comParing and ordering Fractions


              comparing Like Fractions

              To compare like fractions, we observe their numerators. The fraction with the greater
              numerator is greater.
                                          4       3
              example 1:  Compare           and  .
                                          5       5
                                     4       3
              Solution:   Both         and   are like fractions.                                4              3
                                     5       5                                                  5              5
                             We can  see that  the  shaded part  in  the  first                       Note
                             figure is bigger than that of the second figure.                 When denominators

                                  4     3                                                     are same, we compare
                             So,     >                [Since, 4 > 3]                          only the numerators.
                                  5     5
                                         2        5
              example 2: Compare            and  .
                                         7        7
              Solution:  Comparing numerators 2 and 5, we have 2 < 5

                                     2    5
                             Thus,     <                                                              2              5
                                     7    7                                                           7              7



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