Page 102 - ICSE Math 4
P. 102

Exercise 8.4




                      1.  Write two like frac  ons for each of the following.
                                 3              4               7               9               5              6
                           (a)       (b)             (c)             (d)             (e)             (f)
                                 7             11              12              13              17             15

                      2.  Write the equivalent frac  ons represented by the following fi gures.



                           (a)                                            (b)


                                    1     =                                        1     =
                                    2                                              5



                            (c)                                           (d)


                                    3                                              3
                                          =                                              =
                                    4                                              5

                      3.  Find whether the following frac  ons are equivalent frac  ons or not.
                                2       14              3      18              6      15               5      15
                           (a)     and             (b)    and             (c)     and            (d)     and
                                3       21              7      28              7      21               9      27
                    Addition of Like Fractions

                    Look at the fi gure given alongside.

                    There are total 6 parts in the fi gure, out of which 2 are yellow parts
                                                                                          2
                    and 1 is green part. So, the frac  on formed for yellow parts is   and for
                                   1                                                      6
                    green part is  .
                                   6
                    Now, we can add the frac  ons formed to fi nd the total number of coloured parts.
                                                                           2    1    2 + 1   3
                     Total number of coloured parts in the fi gure =   +   =               =
                                                                           6    6      6     6
                    So, there are 3 coloured parts out of 6 parts in the given fi gure.

                    In other words, we can say that to add like frac  ons, we add the numerators and keep the
                    denominator as it is.
                    Example 3:  Add the following frac  ons.
                                       2       3                              3   5        1
                                  (a)     and                           (b)     ,     and
                                       8       8                             14 14        14
                                       2   3    2 + 3   5                     3    5     1    3 + 5 + 1    9
                    Solu  on:     (a)   +   =         =                 (b)      +    +     =           =
                                       8   8      8     8                    14    14   14       14       14

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