Page 90 - ICSE Math 6
P. 90

THINK SMART


                      1.  In the given figure, how many more boxes should you shade so that
                                                                             4
                        the shaded parts represent an equivalent fraction of  ?
                                                                             5
                                                               1
                      2.  Plot any three equivalent fractions of   on the same number line.
                                                               2
                        What do you observe?
                                                                                            2
                      3.  A fraction is multiplied by its reciprocal and the result is added to  . What will be the sum?
                                                                                            3
                      4.  If a, b and c are the reciprocals of three given fractions such that a < b < c, then which is the
                        largest fraction among the given fractions?


                       Individual Activity

                     Objective: To understand the concept of addition of like fractions

                     Material required: Circular cardboard disc or plate and a pair of scissors
                               1      2
                     Let’s add   and  .
                               4      4
                                                                                                       1
                     Step 1:   Consider a circular cardboard disc or paper plate as 1 whole. Now cut   of the disc or
                               plate and keep it aside.                                                4




                                (i)                         (ii)                       (iii)




                                          2
                     Step 2:  Again cut   of the whole disc or plate from the remaining sector.
                                          4




                               (iv)                         (v)





                                        1                        2                                3
                     Step 3:   Clearly,   of the plate along with   of the plate combines to form
                                        4                        4                                4
                               of the plate.

                                       1    2   3
                     Step 4:  Hence,   +   =  .
                                       4    4   4

                        Similarly, we may subtract two like fractions.











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