Page 62 - Math Skill - 5
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60                                                                                                  Maths


        To express an Improper fraction as a Mixed Fraction
        An improper fraction can be expressed as a mixed fraction, by following the steps given below.


                           7                 7
        Let us consider
                           5                 5


        Step 1:      Divide the numerator by the denominator.                                       1    Quotient
                                                                                               5    7
        Step 2:      Write the quotient as the whole number, part of the mixed                    –5

                     number.                                                                        2    Remainder
        Step 3:      The remainder is written as the numerator of the mixed fraction.
        Step 4:      The divisor is written as the denominator of the mixed number.

                                                    Remainder            2
                     Mixed fraction = Quotient                          1
                                                      Divisor            5
                              7     2
                     Hence,     =  1                                                1                    2/5
                              5     5

        To express a Mixed fraction as an Improper fraction

        A mixed fraction can be expressed as an improper fraction. To express a mixed fraction as an

        improper fraction, we follow the steps given below.
                                                2
        Let us consider a mixed fraction 1        .
                                                5

        Step 1:      Multiply the whole number part and the denominator of the mixed fraction.
                                     1 × 5 = 5


        Step 2:      Add the numerator to the product.
                                     5 + 2 = 7

        Step 3:      Write the sum as the numerator and retain the denominator of the mixed fraction.

                                       2
                     Hence,          1 =    7
                                       5    5

        Like and Unlike Fractions
        Fractions having equal denominators are like fractions.


                              1 3 5 7           3 1 2
        For example,            ,,,  and  ,,  are like fractions.
                              8 8 8 8           5 5 5
        Fractions having unequal denominators are unlike fractions.

                                              1
        For example,          3 5 9     and   are unlike fractions.
                                ,,
                              5 7 11          8
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