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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                                                                                      One-third

              When we divide an object   into three equal parts, each part is called
                                                                        1
              one-third of the whole. We express one-third by   and read it as one                Three one-thirds

              by three or one over three.                               3                         make a whole.
              one-Fourth                                                                                      One-
                                                                                                             fourth
              When we divide an object into four equal parts, each part is called


              one-fourth (or quarter) of the whole. We express one-fourth by                 1    Four one-fourths
                                                                                             4
              and read it as one by four or one over four.                                        make a whole.

              Similar to above, a region can be divided into
              several equal parts and denoted each part                      Knowledge Desk
              using a fraction.                                            The space craft Chandrayaan-3
                                                                           launched on 14 July 2023 was
              Writing Fractions                                            successfully covered about two thirds
                                                                            2
                                                                            3
              We represent a fraction in the following way:                   of the distance to the Moon in
                                                                           
                           Number of parts being talked about                             around 22 days during its
              Fraction =                                                                  whole journey of 41 days.
                               Total number of equal parts                                It landed on Moon on 23
                                                                                          August 2023.
              In the given figure, 2 parts out of 3 equal parts
                                                 2
              are shaded. We express it as   and read it as two-thirds or two by three or two
                                                 3
              over three.

              Similarly, we can express more fractions, then understand and read as follows.

                           Fraction                       Understanding                          reading

                               2                                                               Two-ninths

                               9                  2 parts out of 9 equal parts of
                                                       a whole are coloured.

                               6                                                               Six-sevenths

                               7

              numerator and denominator of a Fraction


              Monu’s mat has 9 squares. He paints 4 squares red.
                                                               4       Numerator
              The fraction representing red squares =
                                                               9       Denominator
              Here, 4 is called the Numerator and 9 is called the Denominator of the fraction.



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