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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-06
              \\September 11, 2024 12:14 PM   Bharat Arora   P-6        Reader _________________________   Date: ___________________74





              comparing Unlike Fractions with same numerator

              We can compare unlike fractions having the same numerator.


              example 3: Compare          3   and   3   .
                                          6        4                                                       3
              Solution:   Let us see the fractions using figures.                        3                 4
                                                                                         6
                               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 4: 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
                                  6    6    6   6    6                             of students in your class?
                                                                                   Which fraction is greater?
                                                         5 5 5 5 5
              example 5: Arrange the fractions  ,              , ,,  in descending order.
                                                        6 10 8 7 9

              Solution:   Since,  the numerators of  the given fractions is same,  so, the fraction

                             with  greater denominator will be the smaller fraction.
                             Comparing denominators of the given fractions, 10 > 9 > 8 > 7 > 6.


                                                                                     5    5   5    5     5
                             Thus, the fractions in descending order are:              >    >    >    >    .
                                                                                     6    7   8    9    10

                       Practice time 6d


                1.  Fill in the boxes with > or <.


                    (a)   3     1        (b)   4     8       (c)   10       8    (d)   3       3     (e)   3     5
                        4       4            9       9            15        15        15       8          8      8


                    (f)   1    3         (g)   4     4       (h)   6     7         (i)  3    3       (j)   1     1
                        5      5             3       7            8      8            5      3           2       5


              Mathematics-4                                                                                          117
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