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E:\Working\Orange_Education\Math_Genius_3_(08-10-2025)\Open_Files\CHAP_06
               \ 08-Oct-2025  Bharat Arora   Proof-10                                       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.

              Similarly, a region can be divided into several
              equal parts and each part can be shown as a                    Knowledge Desk
              fraction.                                                    Chandrayaan-3 launched on         Cross-Curricular Learning
                                                                           14 July 2023 covered about two thirds
              WriTing FracTiOns                                             2
                                                                              of the distance to the Moon in
                                                                           
                                                                            3
              We represent a fraction like this:                                        around 22 days during its
                           Number of parts being talked about                           whole journey of 41 days. It
              Fraction =                                                                landed on the Moon on 23
                               Total number of equal parts                              August 2023.

                                                                                                                     2
                          In the given figure, 2 parts out of 3 equal parts are shaded. We express it as
                                                                                                                     3
                          and read it as two-thirds or two by three or two over three.

                          Let's look at some more fractions and learn how to read and understand them.

                           Fraction                       Understanding                          Reading

                               2                                                               Two-ninths

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



                               6                                                               Six-sevenths

                               7
                                                  6 parts out of 7 equal parts of
                                                       a whole are coloured.
              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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