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Fractions                                                                                               61


        Unit Fractions
        A proper fraction with 1 as the numerator is called a unit fraction.

                        1 1 1 1
        For example,  ,, ,  etc. are all unit fractions as they have 1 as their numerator.
                        7 5 2 8


                                                   Exercise 5.2


          1. Tick (3) the groups of like fractions.

                    4 5                       2 4                      5 3                      7   8   5   2
              (a)    ,                   (b)     ,                (c)   ,                 (d)     ,   ,    ,
                   7 9                        11 9                    7 7                      13 13 13 13

          2. Write three like fractions with:
              (a)  denominator 9                 (b) denominator 13               (c) denominator 7

          3. Write five like fractions for each given fraction.
                    2                         5                        1                        3
              (a)                        (b)                      (c)                     (d)
                    9                         7                       8                        11
          4. Which of the following are proper fractions?

               1 13 25 75 12 11 85 35 18 19 31
                      ,
                                                ,
                                           ,
                                                        ,
                                                    ,
                              ,
                          ,
                                       ,
                                   ,
                 ,
              17 19 37 79 31 16 11 37 19 18 31
          5. Which of the following are improper fractions?
              9 4 1 17 19 25 16 5 21 19 38
                               ,
                          ,
                                   ,
                                                ,
                                                    ,
                                       ,
                                            ,
                ,,,
              9 4 7 19 18 18 15 21 37 35 38
          6. Name the type of each fraction.
                   6                     5                     3                    1                1
              (a)                   (b)                  (c)  2             (d)  11             (e)
                    5                    6                     8                   12               13
          7. Convert the following improper fraction into mixed fraction.
              (a)  121              (b)  18              (c)  78
                    8                     7                  7
          8. Convert the following mixed fraction into improper fraction.
              (a)  1 1              (b)  4  1            (c)  7  3
                     7                     8                   4
        Fractions in the Simplest Form
        A fraction is said to be in the lowest terms or in the simplest form if the HCF of the numerator
                                                       21       25
        and the denominator is 1. For example,            and       are fractions in their simplest form.
                                                       40       36
        A given fraction can be  reduced to its simplest form, if we divide the  numerator and the

        denominator of the given fraction by their HCF.
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