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                 \ 19-Nov-2025  Bharat Arora   Proof-9             Reader’s Sign _______________________ Date __________





                                                            1                                                     1
                Example 5. Raman ate 5 pieces of   of a chocolate bar and Ali ate 9 pieces of   of a
                                                            2                                                    4
                chocolate bar. Who ate more?

                Solution. We can show this using fraction kits. Let us consider the figure shown here as
                one whole chocolate bar.

                                               1
                Raman ate 5 pieces of a   chocolate.
                                              2




                              1       1       1       1      1                  1             1          1
                             2        2      2       2       2                                           2

                                                                 1  
                                                                            1 
                                   1  ++++ =               1   + +  1  + += ++ =              2  1 1
                                        1
                                                      1
                                                                                  1
                                             1
                                                 1
                                                                                              1
                                                                             
                                                                   
                                                                                      11
                                                                      
                                                                             
                                                          
                                                                   
                                   2    2   2    2    2    2   2   2    2    2           2     2
                                         1
                Ali ate 9 pieces of a   chocolate.
                                         4
                                 1   1   1   1   1   1   1  1   1              1             1         1
                                  4 4 4 4 4 4 4 4 4                                                    4
                                                                                                          1 1 
                                                                                    1 
                       1  +  1  +  1  +  1  +  1  +  1  +  1  +  1  +  1  =  1   +  1  +  1  +  +  1   +  1  +  1  +  +  1
                                                                                                           
                                                                                     
                                                                                                           
                                                                                     
                                                                   
                                                                                         
                      4    4    4     4    4    4    4    4    4    4   4    4    4    4   4    4    4    4
                                                                            1     1
                                                                   1
                                                                 =++         = 2
                                                                       1
                                                                           4      4
                Clearly, we see that Raman ate more chocolate than Ali.

                            Exercise 4C



                    1.  Fill in the boxes to get the lowest term.


                       a.   10 ÷  5  =                 b.    4 ÷ 4  =                  c.   12 ÷ 3  =
                             15÷  5                         16 ÷ 4                         15÷   3



                       d.    11÷ 11  =                 e.   28 ÷  7  =                 f.   36 ÷ 18  =
                             44 ÷ 11                        49 ÷  7                        54 ÷



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