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                 \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________





                                           1 3 5 4            2
                example 2. Arrange  ,           ,   ,   and   in ascending order.
                                          6 6 6 6             6

                Solution.




                                  1        <        2       <         3       <         4       <         5
                                  6                 6                 6                 6                 6
                                            1    2    3    4   5
                Since 1 < 2 < 3 < 4 < 5,      <<<<
                                            6    6    6   6    6
                                                               1    2    3    4   5
                The fractions in ascending order are:            <<<< .
                                                               6    6    6   6    6
                                                           2 5 7 3           6
                example 3. Arrange the fractions  ,,,                  and   in descending order.
                                                           9 9 9 9           9
                Solution. Comparing the numerators of the given fractions, 7 > 6 > 5 > 3 > 2.

                       7   6    5    3    2
                So,      >>>> .                                                                       Tips
                      9    9    9    9    9
                The fractions in descending order are:                   When comparing like fractions, compare

                       7   6    5    3    2
                         >>>> .                                          their  numerators. The fraction  with  the
                      9    9    9    9    9                              greater numerator is the larger fraction.





                            Exercise 6D


                    1.  Which of the following are unit fractions?
                             9                               1                              4
                       a.                              b.                              c.
                            10                              5                              8

                             1                              3                               1
                       d.                              e.                              f.
                            9                               7                              8
                   2.  Which of the following are like fractions?

                             1 4       6                    2 4        5                    6 3        9
                       a.     ,   and                  b.     ,   and                  c.     ,   and
                             7 7       7                    9 9        9                   23 11       11
                             2 3       8                     7 2        15                  7 14        21
                       d.     ,  and                   e.      ,   and                 f.    ,    and
                             7 7       5                    13 13       13                 9 18         36
                   3.  Which of the following are unlike fractions?

                             3 1       4                    2 1         4                  6 1        7
                       a.     ,   and                  b.     ,   and                  c.    ,   and
                            5 8        9                    5 5         5                  9 8        18
                             1 2         3                   8 9         1                  9 11        19
                       d.     ,    and                 e.      ,   and                 f.     ,    and
                            6 12        18                  13 18       15                 10 10        10


                                                                                                             103
                                                                                                Fractions
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