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





                4.  Which is greater out of the two given fractions in each pair?
                         4 1                             9 7                            3 8
                    a.     ,                       b.      ,                       c.      ,
                         5 5                             13 13                          16 16
                         1 2                             8    7
                    d.     ,                       e.       ,
                         9 9                             20 20
              5.  Fill in the boxes with >, < or =.

                         1        1                      2        7                     10        8
                    a.                             b.                              c.
                         3        3                      9       9                      15       15
                         8         1                     3       5
                    d.                             e.
                         16       16                     9       9
              6.  Arrange the following fractions in ascending order:
                         2   4   5                       1   6   2                       1   8    5
                    a.     ,   ,                   b.      ,   ,                   c.      ,   ,
                         8   8   8                       9   9   9                      12   12  12

                7.  Arrange the following fractions in descending order:
                         1   2   3                       3    9    1                    4   1   7   3
                    a.     ,   ,                   b.       ,   ,                  c.     ,   ,   ,
                         9   9   9                       15 15 15                       7   7   7   7


            AddiTion And SUbTrACTion oF like FrACTionS


            Addition of like Fractions

            Look at the following:




                                                 +                           =
                                    2                           1                                3
                                    5                           5                                5
                 2     1    3
            So,     +    =
                 5    5    5
            We conclude that to add two like fractions, we simply add the numerators.
            Steps involved in addition of like fractions:

                1.  Add the numerators.

                2.  The denominator remains the same.
                3.  Reduce the fraction to its simplest form.
                                 3         2
            example 1. Add          and  .
                                 7         7
                         3     2      3 + 2     5
            Solution.       +     =          =
                         7     7        7        7



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