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              \\September 11, 2024 12:14 PM   Bharat Arora   P-6        Reader _________________________   Date: ___________________74





                2.  Which is greater out of the two given fractions in each pair?

                        4 1
                                                                  3 8
                                                                                      3 2
                    (a)  ,               (b)   9  ,   7      (c)  ,               (d)  ,               (e)   8  ,   8
                        5 5                  13 13                9 2                 4 4                  11 13
                3.  Arrange the following in ascending order.
                                                 5 1 6 2
                        7 2 4 5
                                                                         6 6 6 6
                                                                                                  1 1 1 1
                    (a)  ,  ,  ,             (b)  ,  ,  ,            (c)  ,     ,  ,          (d)  ,  ,  ,
                        8 8 8 8                  9 9 9 9                 7 13 8 12                2 3 7 9
                4.  Arrange the following in descending order.
                        7 7 7 7
                                                                                                  4 4
                                                 4 1 2 3
                    (a)  ,     ,  ,          (b)  ,  ,  ,            (c)   5  ,   3  ,   9  ,   1    (d)  ,   ,   4 4
                                                                                                              ,
                        8 12 9 13                9 9 9 9                 12 12 12 12              5 11 10 7
              addition and sUBtraction oF Like Fractions
              addition of Like Fractions


              Look at the given diagram.
                                                                               +                   =
                               +
                   2    1    21       3
              So,     +   =        =                            2                    1                    3
                   5    5      5      5                         5                    5                    5
              We observe that  the  resultant  fraction  has  the  sum  of numerators  of two given
              fractions and the same denominator.

              Thus, to add like fractions, we follow these steps.

                  Step 1:  Add the numerators.

                  Step 2:  Keep the common denominator same.
                  Step 3:   Reduce the fraction to its simplest form or convert it into mixed fraction,

                            if required.

              example 1: Add the following.
                    (a)   3  and   2             (b)    3  +   2  +   1
                         7        7                     4     4      4
              Solution:
                                    +
                         3    2   32        5
                    (a)    +    =        =                               +                      =
                         7    7      7      7                  3                      2                      5
                                                               7                      7                      7
                    (b)  3  +  2  +  1                          +              +
                         4    4    4                   3             2             1
                             ++
                           32 1                        4             4             4                   Note
                         =                                                                    Sum of two or more
                               4                                                  2     1     like fractions

                           6      2     1        =             +              = 1  4  = 1  2  =   Sum of numerators
                         =    = 1 =   1                 1           2                           Common denominator
                           4      4     2                           4



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