Page 79 - Revised Maths Wisdom Class - 6
P. 79

Fractions                                                                                                 77

                           7   7 336×    2352                                             37,    16,  5,  3
                       ⇒     =         =
                           5   5 336×    1680                                             5   7,  16,  5,  1

                           7  =  7 105×  =  735                                           7   7,  16,  11,
                           16   16 105×   1680                                            2   1 16,  ,  11,
                           3  =  3 240×  =  720                                           2   1,   8,  1 1,

                           7   7 240×   1680                                              2   1,   4,  1 1,
                           5  =  5 560×  =  2800                                          2   1,   2,  1,, 1
                                                                                                        ,
                           3   3 560×   1680                                                   , 1  , 111
                       Comparing the numerators                                             LCM = 1680
                           720  <  735  <  2352  <  2800     ⇒   3  <  7  <  7  <  5
                           1680   1680   1680    1680          7   16   5   3

                                  3                                    2
        Example 3:  Mini spent   of her day in a work and Vini spent   of her day in the same work. Who took more
                       time?      4                                    3
        Solution:      A day has 24 hours                                 Alternative Method
                           3         3
                       ⇒      of 24 =  × 24 = 18 hours                                 3      2
                           4         4                                    To compare:   and   3
                                                                                       4
                       2          2
                          of 24 =  × 24 = 16 hours                        3 × 3 and 4 × 2  (By cross multiplication)
                       3          3

                                  3   2                                   9 > 8
                       18 > 16 ⇒    >                                         3   2
                                  4   3                                   ⇒     >
                       Hence, Mini spent more time.                           4   3





                                                         Exercise 5D
                                                         Exercise 5D
          1.  Write the shaded portions as fractions and arrange them in ascending order:

            (a)









            (b)









                       3 7 11       2
          2.  Represent  ,,     and    on the number line and write them in descending order:
                       5 5 5        5
   74   75   76   77   78   79   80   81   82   83   84