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66                                                                                                  Maths

          2. Compare the following using symbols > or <.

                                                                        1
                     1
                                                                                                 2
              (a)  6          3  3       (b)  4       1 7         (c)  3         5  3     (d)  5         1 4
                     5         10             1         9               7         9              6         3
          3. Arrange the following fractions in ascending order.

                    1   3   7   2              3   1 5    2            1   8    7   6          1 5 7      2
              (a)    ,    ,   ,          (b)     ,   ,  ,         (c)   ,    ,    ,       (d)    ,   ,  ,
                   6 12 9 3                   10 5 2 15               7 28 14 35               3 8 6 16

          4. Arrange the following fractions in descending order.


              (a)   7  ,  8  ,  1 4      (b)   5  ,  4 3 11       (c)  4  ,  8 13 5       (d)   2  ,  5  ,  7  ,  9
                                                        ,
                                                     ,
                               ,
                                                                             ,
                                                                                  ,
                   12 15 3 9                  12 6 5 10               12 4     2    6          16 12 8 24
        Addition and Subtraction of Fractions
        In class IV, we have learned the addition and subtraction of the fractions. Here, we will learn
        the basic operations on all types of fractions.


        Addition and subtraction of like fractions
        To add like fractions, we simply add or subtract the numerators and write the common
        denominator.


                                   Sum of like fractions =      Sum of numerators
                                                              Common denominator

                                                    Sum of numerators

                              3    2   32+     5
        For example,            +    =       =
                              7    7     7     7     Common denominator


        Similarly,       Difference of like fractions =   Difference of numerators
                                                           Common denominator


                                                    Subtract the numerators

                              5    2   52−     3
        For example,            −    =       =
                              7    7     7     7      Common denominator

        Addition and Subtraction of unlike fractions

        To add or subtract the unlike fractions, we follow these steps:

        Step 1:      Find the LCM of denominators of unlike fractions.
        Step 2:        Convert unlike fractions into equivalent like fractions with their LCM as common
                     denominator.

        Step 3:      Add or subtract the like fractions so obtained.

        Let’s learn through examples.
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