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    E:\Working\Orange_Education\Math_Genius_2\Open_Files\Chap_07
                   \ 26-Sep-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________

     three-fourths  Fraction as a Part oF a coLLection

     When we divide an object into four equal parts, then 3 parts together out of 4 equal   rani: I have a chocolate bar. There are 12 square pieces in it.
     3
     parts is called three-fourths or three quarters. We write three-fourths as  .  It shows a collection or group of 12 similar pieces.
     4            Soni (rani’s sister): Wow! I also want to eat this chocolate. Will

                  you share it with me, Didi?

     +            rani: Of course. I will give you half of it. I can break it along the

                  dotted line into two halves as shown.

     1 whole  A quarter piece is   1  (One-fourth)  3  (Three-fourths)  Soni: Thank you! I got one-half or 6 pieces.
     being cut out.  4  4  Thus, both Rani and Soni have one-half of 12, that is, 6.
     3                                       1     1
     We read   as 3 upon 4 or 3 by 4. We see   Think Tank  Logical Thinking  Similarly, we can find   or   of the collections given   Be Aware
     4                                       3     4                                   1

     that one three-fourths and one one-fourth   1.  How many half pieces make   below.  2  of 12 pieces = 12 ÷ 2 = 6 pieces
     a whole pie?
     make a whole.  2.  Into how many quarters can we cut   (a)  Divide a collection of 6 ice-creams into 3 equal
     an apple?         groups. Each group has 2 ice-creams.

                               1
     Practice time 7B  Thus,  of 6 = 2.
                               3
     1.  Colour one-fourth of each figure.  (b)  Divide a collection of 16 lollipops into 4 equal

                       groups. Each group has
     (a)   (b)   (c)   (d)   4 lollipops.

                               1
     2.  Colour three-fourths of each figure.  Thus,  of 16 = 4.
                               4

     (a)   (b)   (c)     (d)
                          Fast Check                                                                             Logical Thinking

     3.  What part of the triangle is shaded in green and in red?  Find the part of the following collections as directed.
                            1
                         1.   of 10 balls
     (a) Green       (b) Red   2
                            1
                         2.   of 12 toffees
                            3
                            1
                         3.   of 8 toy cars
                            4

                        activity                                                                               Creative Thinking
                                                                       1                       1
                   Draw  12  buttons  in  your  notebook. Colour   of them  red  and   of them
                                                                                               4
                                         1                             2
                   blue. Now, colour   of the remaining buttons yellow. How many are left without colour?
                                         3

                  Mathematics-2                                                                                         135

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