Page 89 - Revised Maths Wisdom Class - 6
P. 89

Fractions                                                                                                 87








                                                   COGNITIVE

                                                        MAP








                       Conversion                     Fractions                         Types



                                                                    PROPER FRACTION
                                     Structure                      When numerator is less than denominator
                                 “It is part of whole”                    3   4   9
                                          or                        e.g.   5  ,   7  ,   12
                                “A part of collection”
                                                                    IMPROPER FRACTION
                                   Number of Consider Parts
                         Fraction =                                 When numerator is greater than denominator
                                     Number of Total Parts                7   6  8
                                                                    e.g.    ,   ,
                                                                          5   2  7
                                                                    MIXED FRACTION
                                                                    Combination of whole number + Proper fraction

               Mixed Fraction to Improper Fraction                  e.g.  3   1   = 3 +   1
                              (Whole Number × Denominator)                  5      5
                                       + Numerator                          1      1
            Mixed Fraction =           Denominator                       6   9   = 6 +   9

                               = Improper Fraction                  UNIT FRACTION
                                                                    Proper fraction with ‘1’ numerator
                                                                          1   1  1
                                                                    e.g.    ,   ,
                                                                         11 7 10
                Improper Fraction to Mixed Fraction                 LIKE FRACTIONS
                                             Remainder              Fractions with same denominator
                Improper Fraction = Quotient
                                               Divisor                    1   4  7 11
                                                                    e.g.    ,   ,   ,
                                                                          5   5  5   5
                                                                    UNLIKE FRACTIONS
                                                                    Fractions with different denominators
                     Rememberable Points                            e.g.   1  ,   2  ,   6
            1.  If two fractions have the same denominator,               3   5  7
              then larger the numerator, larger the fraction.       EQUIVALENT FRACTIONS
            2.  If two fractions have the same numerator, then      These fractions which have same value
              larger the denominator, smaller the fraction.         e.g.   1  ,   2  ,   4
            3.  The reciprocal of 1 is 1 itself.                          2   4  8
            4.  0 does not have any reciprocal.                     all are equivalent fractions
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