Page 83 - Revised Maths Wisdom Class - 6
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Fractions                                                                                                 81


                                                    1
                       Fraction given to her friend =
                                                    6
                                                         1
                                                      2
                       Total fraction she gives away =  +  =   3  =  1
                                                      6   6   6   2
                                                         1                              1
        Example 7:  Raju walked a certain distance in 19  minutes. It took Sam only 14  minutes. How much longer
                                                          2                             2
                       did it take Raju to cover the distance?

                                               1   39
        Solution:      Time taken by Raju = 19   =
                                               2    2
                                               1   29
                       Time taken by Sam = 14    =     minutes
                                               2   2
                                           39   29    39 29−   10
                       Their Difference  =    -     =         =     = 5 minutes
                                            2    2       2      2
                       Hence, Raju took 5 minutes more than Sam to cover the distance.




                                                         Exercise 5E
                                                         Exercise 5E
          1.  Find the sum and express the result as a mixed number in simplest form:

                2   1               1   3                8   3              2  7              4   7
            (a)   +             (b)   +             (c)    +           (d)   +            (e)   +
                3   3               5   5               11 11               9  9              3   3
          2.  Find the difference:

                  1  2                2    1              4    1             1   3            2   1
            (a)  5 -            (b)  4 − 1          (c)  6 - 3         (d)  4 -           (e)   -
                  2  7                3    3              9    2             2 10             3   6
          3.  Simplify the following:

                   3   9   3                        5    2    1                     3   4   1
            (a)  11 −    +                    (b)  7 + 3 −  1                  (c)    +   +
                   7 16    4                        9    3    7                    10   5   2
                                                    2                    3
          4.  Rumi and Sahil bought a cake. Rumi ate   of it and Sahil ate    of it. Who ate more and by how much?
                                                    5                   10
          5.  Ms. Gautam has thirty plants. Three-fifth of them have flowers. How many of her plants don’t have flowers?
          6.  On Friday Simon ate three tenths of a kg of cherries. On Saturday, he ate half of a kg of cherries. What amount
            of cherries are left now if he had one kg of cherries?
          7.  Kaya put one third of a cup of sugar into the bowl. She then added one and one-fourth cups more. Realizing
            that she put in too much, she took out two-fifths of a cup. How much sugar was left in the bowl?
                                                                                                       1
          8.  A journey to Delhi to Bengaluru takes three and a third hours by plane. It would take about  29  hours to get
            there by train. How much time is saved by flying?                                          5
                                                                                                                  1
          9.  Aditya completes his weekly assignments spending 2 hours everyday in a week whereas Rishi spends  5
                                    1                                                                             2
            hours on Saturday and  3  hours on Sunday. Who spent more time and by how much? What habit of Aditya
                                    3
            is displayed here? What do you do to complete your weekly assignments?
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