Page 174 - New Medley 5 Semester 1
P. 174

Z Z Like fractions: These fractions have the same denominator.

                                    1 3 5           4     7     9
                   Examples:          ,   ,    ;       ,     ,     ; etc.
                                    4 4 4          11 11 11


                 Z Z Unlike fractions: These fractions have different denominators.
                                    2 3        1 5 4
                   Examples:  ,           ;  ,        ,   ; etc.
                                    3 4        6 7 9


               Simplest Form of a Fraction

               A fraction is said to be in its simplest form when its numerator and

               denominator  have  no  common  factors  other  than  1.  In  other  words,  if

               the  numerator  and  the  denominator  are  co-primes,  the  fraction  is  in  its
               simplest form.

                                3                                    17
               Examples:           (HCF of 3 and 8 is 1),                 (HCF of 17 and 35 is 1), etc.
                                8                                    35

               To  reduce  a  fraction  to  its  lowest  term,  divide  the  numerator as  well  as

               the denominator by their HCF.

                              20      20 ÷    5                                          4
               Example:            =             (HCF of 20 and 25 is 5) =
                              25       25 ÷   5                                          5

                         4                                    20
               Thus,        is the simplest form of               .
                         5                                    25


               Equivalent Fractions

               We have learnt that the fractions representing the same part of a whole

               are  called  equivalent  fractions.  In  other  words,  the  simplest  form  of
               equivalent fractions shows equal value.











                        1                       2                      3                       5
                           shaded                  shaded                 shaded                   shaded
                        2                       4                      6                      10


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