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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.

                 106                                                                                    Mathematics-3

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