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

                                          5    6         1
                    example 2. Add          ,     and      .
                                         18 18          18

                                                        6
                    Solution.    5  +  6  +  1  =  5 ++      1  =  12  =  12÷  6  =  2
                                18    18    18         18         18      18÷  6    3
                                                                                              1
                                                       3
                    example 3. Anuradha read   of a book and Ashima read   of the book. What part
                                                       5                                     5
                    of the book was read by both of them together?

                                                                             3
                    Solution. Part of the book read by Anuradha =
                                                                             5
                                                                1
                    Part of the book read by Ashima =
                                                                5
                    Part of the book read by both of them together =           3  +  1  =  3 +  1  =  4
                                                    4                          5    5       5      5
                    Thus, they together read   of the book.
                                                   5

                    Subtraction of like Fractions

                    Have a look at the following:

                                                          –                         =

                                             4                         1                           3
                                             5                         5                           5
                         4    1    3
                    So,  −=
                         5    5    5
                    We conclude that to subtract like fractions, we simply subtract their numerators.

                    Steps involved in subtraction of like fractions:

                        1.  Subtract the numerators.
                      2.  The denominator remains the same.

                      3.  Reduce the fraction to its simplest form.

                                               2         3
                    example 4. Subtract           from   .
                                               7          7
                                3     2     3−  2     1
                    Solution.      −    =          =
                                7     7       7       7
                                          12     5
                    example 5. Find          -     .
                                         15      15
                                12      5      12−  5      7
                    Solution.       −      =           =
                                15     15        15       15

                                                                                                                 105
                                                                                                    Fractions

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