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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_06
                 \ 12-Sep-2024                      Surender Prajapati   Proof-4              Reader’s Sign _______________________ Date __________

                  one-third       1  of a collection
                                  3

                  Riya bought a bunch of one dozen bananas. She wants to distribute these bananas among
                                                                            1
                  3 monkeys, so, the share of each monkey will be   of the collection. For this, she divides
                                                                            3
                  the bunch into three equal parts as shown.

                   1  means 1 out of 3 equal parts, i.e., one-third of 12 bananas is  4 bananas.
                   3
                       1
                  So,   of 12 = 4 or 12 ÷ 3 = 4 .
                       3
                  i.e., one-third of 12 bananas is 4 bananas.

                  Thus, each monkey gets 4 bananas.
                                                                                                            Note
                  one-fourth        1   of a collection                                             1 dozen = 12 bananas
                                    4
                  Sheetal has a collection of 16 soft toys.

                                                                                                   1
                  She distributes them among her 4 sisters. Each sister gets one-fourth               of the collection.
                                                                                                 
                                                                                                   4
                                   1
                  One-fourth         means 1 part out of 4 equal parts.
                                 
                                  4
                       1
                  So,   of 16 or 16 ÷ 4 = 4, i.e.,
                       4
                  one -fourth of 16 is 4.

                  Thus, each sister gets 4 soft toys.

                                                                                               Remember
                                                                                      To find half of a collection, we
                           Think and Answer                                            divide it by 2.
                                                                                      To find one-third of a collection,
                        A watermelon is divided into 8 equal                           we divide it by 3.
                        parts. Find one–fourth of it. What part of the                To find one-fourth of a
                        watermelon is eaten if you eat all 8 parts?
                                                                                       collection, we divide it by 4.

                           Practice time 6B

                  1.  Colour the following according to the given fractions.

                                             1                                                                  2
                        (a)                               (b)                   1          (c)
                                             2                                  3                               3

                 110                                                                                    Mathematics-3

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