Page 129 - MathGPT_V1.0_C4
P. 129

E:\Working\Brother_Education\Preparatory_Stage_Maths-4\Open_Files\Chap-06
              \\October 31, 2023 3:34 PM   Bharat Arora   P-2           Reader _________________________   Date: ___________________74





              comParing and ordering Fractions


              comparing like Fractions

              To compare like fractions, we observe their numerators. The fraction with the greater

              numerator is greater.

                                          4       3
              example 1:  Compare           and  .
                                          5       5
                                     4       3                                                  4              3
              Solution:   Both         and   are like fractions.
                                     5       5                                                  5              5
                             We can  see that  the  shaded part  in  the  first                       Note

                             figure is bigger than that of the second figure.                 When denominators
                                                                                              are same, we compare
                                  4     3                                                     only the numerators.
                             So,     >                [Since, 4 > 3]
                                  5     5

              comparing Unlike Fractions with same numerator


              We can compare unlike fractions having the same numerator.

              example 2: Compare          3  and   3  .
                                          6        4                                     3                 3

              Solution:   Let us see the fractions using figures.                        6                 4

                               Looking at the  shaded  parts,  we find  that
                             3  <  3                                                          Note

                             6    4   (But 6 > 4)                             In unlike fractions with the same
                                                                              numerator, the fraction with greater
              ordering Fractions                                              denominator will be smaller.

                                                        1 3 5 4              2
              example 3: Arrange the fractions  ,             ,   ,    and   in ascending order.
                                                        6 6 6 6              6

              Solution:


                                 1            2            3            4           5
                                 6            6            6            6           6

                             Since, 1 < 2 < 3 < 4 < 5,
                                                                                       Think and Answer
                             So, the fractions in ascending order are:
                                                                                   What is the fraction of boys
                                  1  <  2  <  3  <  4  <  5 .                      and girls to the total number
                                                                                   of students in your class?
                                  6    6    6   6    6                             Which fraction is greater?


              Mathematics-4                                                                                          127
   124   125   126   127   128   129   130   131   132   133   134