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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_06\Chap_06
                 \ 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

                       94        Mathematics 4

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