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E:\Working\Brother_Education\Preparatory_Stage_Maths-4\Open_Files\Chap-06
              \\October 31, 2023 3:34 PM   Bharat Arora   P-2           Reader _________________________   Date: ___________________74





              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             Remember
                             ++
                           32 1                        4             4             4
                         =                                                                   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                  4
              subtraction of like Fractions                                            5

              Have a look at the given figure.                                                     =        3
                   4
                        1
              So,   –   =    4 – 1   =  3                                                     1             5
                                        5
                        5
                   5
                                5
                                                                                              5
              We observe that the resultant fraction has the difference of numerators of the given
              fractions and same denominator.                                              Remember
              Thus, to subtract like fractions, follow these steps:               Difference of two like fractions =
                  Step 1:  Subtract the numerators.                               Difference of numerators

                  Step 2:  Keep the denominator same.                               Common denominator
                  Step 3:  Reduce the fraction to its simplest form.                             9
                                          9     3                                               10
              example 2: Subtract:           −
                                         10 10

                                                    −
                                      9     3     93       6     3
              Solution:                  −     =        =      =
                                     10 10         10      10    5
                                                                                           6                 3
                                                                                           10               10
                       Practice time 6H



                1.  Find the sum and express the answer in the simplest form.
                         9    8                  5    8                   5      7                 4    5   2
                    (a)    +                (b)    +                 (c)     +               (d)     +    +
                         4    4                  9    9                   12    12                 7    7   7

                2.  Subtract the following. reduce the difference to the simplest form.
                         10     7                 9     9                 5     3                  9     7
                    (a)      −              (b)      −               (c)     −               (d)      −
                         11    11                13    13                 16    16                17     17


              Mathematics-4                                                                                          129
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