Page 28 - Maths Skills - 7
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26                                                                                                  Maths



                                                    Exercise 2.1


          1.  Add the following.

                 5    3                   7    5                  13    7                 33    24    22
             (i)   +                 (ii)    +               (iii)   +               (iv)     +     +
                 11 11                    17 17                   51   51                125    125   125
          2.  Subtract the first fraction from the second.

                 1   7                    31 41                   35 41                  21 41
             (i)   ,                 (ii)   ,                (iii)  ,                (iv)   ,
                 15 15                    71 71                   37 37                  91 91
          3.  Find the sum.

                 1     5                  2    7                   3    1                  1   6
             (i)    +                (ii)   +                (iii)   +               (iv) 2  +
                 17   34                  5   25                  71 142                   3   7
                  1
                                                                                             1
                                                                        1
             (v)  5  + 7 1           (vi)  1  + 6 1          (vii)  3  + 3          (viii) 5 +   + 5 1
                  2     3                 9     3                 5     9                    2     2
          4.  Find the difference.
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             (i)  5   –   7          (ii)  15  −  11         (iii)  13  –   1        (vi) 2  –  13
                 11   22                  73 146                  34   51                  5   15

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          5.  The cost of a notebook is ` 25  and that of a pen is ` 12 . Which costs more and by how much?
                                          7                          5
                                 1                             5
          6.  A shopkeeper sold 2  kg of wheat bags from a 31  kg sack. Calculate how many kg of wheat is left in
                                 4
                                                               6
            the sack?
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                             1
          7.  Deepa bought 4  kg of mangoes and 7  kg of apples. What is the total weight of fruits purchased by
                             2                      3
                                                        1
            her? On her way back to home she gave 1  kg of total fruits to an orphanage. How much is left with
                                                        3
            her now?

        MULTIPLICATION OF FRACTIONS
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        To understand the multiplication of fractions, let us take an example,   ×   or   of  1
                                                                           2
                                                                                3
                                                                                          3
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          Here, we find that when we multiply two fractions,
             (i)  The numerator is multiplied by the numerator.
            (ii)  The denominator is multiplied by the denominator.
                                    6    2    62×     12                          3   2    32×     6
                 For example;  (i)      ×  =        =                        (ii)   ×   =       =
                                    10 11 10 11 110×                              7 13    713×    91
        While multiplying fractions we may have two possibilities.

        (i)  Multiplying a Fraction by a Whole Number
               ● We multiply a proper or an improper fraction by a whole number by multiplying the numerator of the
              fraction by the whole number and keep the denominator same.
                                          3
              For example, let us multiply   and 4.
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