Page 72 - ICSE Math 6
P. 72

Example 2:  Write the fraction representing the shaded portion.




                                   (a)                          (b)                         (c)






                                   (d)                          (e)                         (f)




                                     3        4        3         1        6        2
                    Solution:    (a)     (b)      (c)     (d)          (e)     (f)
                                     4        8        8        12        6        8

                    Example 3:  The fraction representing the shaded part(s) of the figures is mentioned along with.
                                  Identify the error, if any.

                                                    1                              1                      2
                                  (a)                    (b)                           (c)
                                                    2                              4                      4

                                                                                    1
                    Solution:     (a)  No error. The shaded parts actually represent  .
                                                                                    2
                                                                          1
                                  (b)  The shaded part does not represent  , since the vertical line is not in the middle.
                                                                          4
                                                                         2
                                  (c)  The shaded parts do not represent   as the four rings have the different areas.
                                                                         4
                    Example 4:  Arushi bought 5 music CDs. She already had 8 CDs. What fraction of the total CDs
                                  did she buy and what fraction did she already have?
                    Solution:                     Number of CDs she bought  = 5

                                              Number of CDs she already had  = 8
                                                    Total no. of CDs = 5 + 8  = 13
                                                                                   5
                                            Fraction of total CDs she bought  =
                                                                                  13
                                                                                   8
                                       Fraction of total CDs she already had  =
                                                                                  13
                    Types of Fractions

                    Proper fractions
                    A fraction in which the numerator is less than the denominator is known  as a proper fraction.
                                   6 16      250
                    For example,     ,   and       are proper fractions.
                                  19 25      251

                    Improper fractions
                    A fraction in which the numerator is greater than or equal to the denominator is known as an improper
                                           9 21      10
                    fraction. For example,  ,    and     are improper fractions.
                                           8 19      10


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