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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 __________

                                             2                                                      5
                    example 1. What is   of 12 apples?                     example 2. What is   of 18 balls?
                                             3                                                      6
                    Solution.  12 ÷ 3 = 4                                  Solution. 18 ÷ 6 = 3
                                 2 × 4 = 8                                              5 × 3 = 15
                            2                                                      5
                    Thus,   of 12 apples = 8 apples.                       Thus,   of 18 balls = 15 balls.
                            3                                                      6

                    example 3. Find the following:

                                     3                              5                                 3
                                 a.     of a dozen             b.      of a minute                c.     of a week
                                     4                              6                                 7

                    Solution.  a.  1 dozen = 12                b.  1 minute = 60 seconds          c. 1 week = 7 days
                                        12 ÷ 4 = 3                    60 ÷ 6 = 10                       7 ÷ 7 = 1

                                         3 × 3 = 9                       5 × 10 = 50                      3 × 1 = 3
                                          3                             5                                  3
                                     So,   of a dozen = 9.         So,   of a minute                  So,   of a week
                                          4                             6                                  7

                                                                   = 50 seconds.                      = 3 days.

                                Exercise 6B

                        1.  Here, 12 balloons are shown.

                                         1                              3
                           a.  Colour   in red.            b.  Colour   in green.
                                         4                              6
                                         3
                           c.  Colour   in blue.
                                         12
                       2.  Find the following:
                                2                               5                              3
                           a.      of 27 ______            b.      of 30 ______            c.     of 24 ______
                                3                               6                              8
                                2                               3                              2
                           d.      of 42 ______            e.      of 72 ______            f.     of 54 ______
                                7                               4                              9
                       3.  Find the fractions for the following:
                                 1                              2                              3
                           a.      of 75 kg                b.      of ` 110                c.     of a year (in month)
                                3                               5                              4

                                2                               3                               3
                           d.      of a dozen              e.      of 96 m                 f.      of 9 m (in cm)
                                3                               8                              10

                                                                                                                  97
                                                                                                    Fractions

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