Page 102 - New Medley 3 Semester 2
P. 102

B.  Find the following by sketching and colouring the objects.
                          1                                1                                1
                     1.       of 12                   2.      of 20                    3.      of 18
                          4                                5                                6
                          1                                1                                1
                     4.       of 32                   5.      of 16                    6.      of 33
                          8                                2                                3

                          1                                1                                1
                     7.       of 28                   8.       of 27                   9.      of 30
                          7                                9                                5

                          1                                1                                1
                    10.       of 36                  11.       of 20                 12.       of 40
                          6                                4                                8


               Addition and Subtraction of Fractions (with the same Denominator)


               Addition

               Let us consider the following paper strips.


                                                 +                                  =

                         2                                 3                                  5

                            (two-sixths)          +           (three-sixths)                    (five-sixths)
                         6                                 6                                  6
                                                                                              2

               From  the  above,  we  see  that  the  first  strip  is  shaded                     in  pink and  the
                                                                                              6
                                                3
               second strip is shaded   in yellow. The third strip shows both the shading
                                                6
                                          5
               together, that is,            of the strip.
                                          6
                                                 2      3      5
               Therefore, we can say                 +     =
                                                 6      6      6

               Again, consider the following example:



                                                +                             =



                         3                              1                            4



                            (three-fifths)                 (one-fifth)                  (four-fifths)
                         5                              5                            5
                                           3     1      4       3+ 1 
                                                            
               Here, we see that              +      =       =            
                                           5     5       5         5     
                                                                         
              100
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