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





                                                                                                                  1  
                                                                                                                  
            one-third: When a region is divided into three equal parts, each part is one-third  
                                                                                                                  
            of the whole.                                                                                         3  

                                                        3 equal parts
                                                        1 part is shaded.
                                                        Fraction of shaded part =        1
                                                                                         3

                                       1  +  1  +  1  =
                                      3    3    3    1 → Three thirds make a whole.

            Let us see a few more fractions.

                                    Total number of        number of           Fraction for         Fraction for
                    Figure
                                      equal parts         shaded parts           one part          shaded parts


                                                                                      1                   3
                                            10                   3
                                                                                     10                  10


                                                                                      1                   4
                                            12                   4
                                                                                     12                  12


                                                                                      1                   4
                                            8                    4
                                                                                     8                    8




            nUmerATor And denominATor


            In a fraction, the number above the horizontal line is the numerator and the number
            below the horizontal line is the denominator.

                                 Number of parts considered          Numerator
                    Fraction =                                   =
                                    Total number of parts          Deenominator

                                                                 3  
            Here, in the fraction for the shaded parts                             Numerator
                                                                 ,
                                                                                              3
                                                                 
                                                                 4  
            3 is the numerator and 4 is the denominator.                       Horizontal     4
                                                                                 line
            Look at the fractions for the shaded parts in these figures.                  Denominator



                                       1      Numerator                           5     Numerator
                                       4      Denominator                         6     Denominator







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