Page 110 - Revised Maths Wisdom Class - 3
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108                                                                                                MATHS








                                                         COGNITIVE

                                                               MAP







                                                          Fractions                            Type
                    Meaning
     © G. Ram Books (P.) Ltd.©
               “It is a part of whole”
                         or
               “A part of collection”                                                Proper Fraction

                                                                         When numerator is less than denominator
                            Structure                                    e.g.   4  ,   2  ,   9

                          Numerator (N)                                         5  3  10
              Fraction =                                                           Improper Fraction
                         Denominator (D)
              Numerator       Number of parts counted                    When numerator is greater than denominator
              Denominator       Number of total parts                           5  9 15
                                                                         e.g.    ,   ,
                                                                                4  7   8
                                                                                       Unit Fraction
                                 Identification
                                                                         Fraction with numerator ‘1’
                                                            1
                                                                               1 1
                                Fraction of shaded portion =  2          e.g.  ,    ,   1
                                                               1               5 4    9
                                Fraction of unshaded portion =  2                     Like Fractions

                                                                         Fractions with same denominator
                                                            2
                                Fraction of shaded portion =                    1  4   7
                                                            3            e.g.   5  ,   5  ,   5
                                                               1
                                Fraction of unshaded portion =
                                                               3                     Unlike Fractions
                                                                         Fractions with diff erent denominator
                                                            1
                                Fraction of shaded portion =
                                                            4            e.g.   1  ,   4  ,   3
                                                               3                3  5   7
                                Fraction of unshaded portion =
                                                               4

                                              Comparison of Like Fractions


               When denominators of given fractions are same then fraction with greater numerator is bigger.
                         3   2   1       3     2    1
                       e.g.  ,   ,      then     >     >
                         4   4   4       4     4    4
   105   106   107   108   109   110   111   112   113   114   115