Page 93 - New Medley 4 Semester 2 PDF (Merged)
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Improper Fraction

                                          35
        In the given fractions,                toffees are called improper fraction. Here, the
                                           2

        numerator 35 > the denominator 2. Thus, a fraction in which the numerator
                                                                                                    5 7 11
        is greater than the denominator is called an improper fraction.  ,                                ,    ,
                                                                                                    3 5      8

        etc., are some more improper fractions.


        Mixed Fraction
                               1                                                                      1
        The  fraction  17   means  17  whole  and  a  half.  Or  we  can  say  17   =  17
                               2                                                                      2

            1
        +     , i.e.,  natural  number  + proper  fraction.  Thus,  a  fraction  which  is a
            2

        combination of a natural number and a proper fraction is called a mixed
                        1     3     3
        fraction.  1 ,      2 ,   5 , etc., are some more mixed fractions.
                        2     4     7
        Converting Improper Fraction to Mixed Fraction


        We can convert an improper fraction into a mixed fraction.

                                    25       24 +1        24      1           1       1
        For example,                     =             =       +     =6 +        =6
                                     4          4          4      4           4       4

                                                                          Remainder
        Or divide 25 by 4 and express it as  Quotient                                    .
                                                                            Divisor
                             6
                         )                             25         1

        i.e.,      425       ∴                          4   =  6  4
                         −  24

                             1

        Converting Mixed Fraction to Improper Fraction


        We can also convert a mixed fraction into an improper fraction.
                                      1      4× 6+ 1           24 +1        25
        For example,                6  =                   =             =
                                      4           4               4          4

                                                        ( Dividend = Divisor × Quotient + Remainder)


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