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Fractions                                                                                               77



                                                    Exercise 5.6



          1. Add the following fractions and then shade the appropriate parts of each figure. One has
              been done for you.
                                                           4
                         2
              (a)   1   +   =    3               (b)  1   +   =                   (c)   5   +   3   =
                                                           6
                              5
                         5
                                                      6
                     5                                                                  12  12



          2. Find the sum.


              (a)   3  +  2                      (b)  8  +  3  +  1               (c)  9  +  5
                   7    7                             15   15   15                    16   16
                     7
              (d)  2 +   1 1                     (e)  2  +  5  +  3               (f)  6  +  4  +  2
                     9     9                          11 11 11                        13   13    13
          3. Add the following.

                     5
              (a)  2  and 3   2                  (b)  1  ,   2   and   3          (c)  3  ,   5   and   6
                     6        6                       10   10       10                20    20       20

              (d)   3  ,   5   and   1           (e)  6   and   2                 (f)  1  ,   3   and   7
                   12    12       12                  11       11                     30    30       30

        Subtraction of Like Fractions

        Subtraction of like fractions also follows the same rule as addition.
                     2
        Represent   on a paper strip.
                     5
                     4
        Represent   on another paper strip.
                     5

        We subtract the numerators and find the difference, that is, 4 – 2 = 2 and represent on the strip
        as shown here:

                4
        Thus,       2     2
                5   5   5

                            Difference of two like fractions =     Difference of numerators
                                                                    Common denominator



              Let’s Attempt

                                            7
        Example 1:  Subtract       5   from  .
                                   9        9


        Solution:        7  −  5   =   75−   =   2
                         9   9      9      9
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