Page 70 - Math Skill - 5
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68                                                                                                  Maths


                        7  +  23  +  16
                        5   10     5

                        LCM of 5, 10 and 5 is 10.

                             72×   =  14 23 1    =  23 16 2×   =  32
                                             ×
                                                       ,
                                         ,
                              52×     10 10 1       10 52×        10
                                             ×
                             14  +  23  +  32  =  14 23 32+  +
                             10    10   10         10

                                69      9
                             =       = 6
                                10      10

                                     2      4
        Example 4:  Subtract: 3         − 1
                                    11     11
                          2    3112×  +     33 2+     35
        Solution:       3    =            =         =                          Alternative Approach
                          11       11         11      11                                                     −  2

                        1  4  =  1114×  +  =  11 4+  =  15                     (3 – 1) +    2  −  4    = 2 +    
                                                                                                  
                                                                                         
                                                                                                            11
                                                                                                                
                                                                                         
                         11        11         11     11                                   11 11
                                       −
                        35    15   35 15      20       9                              2    22 2−     20      9
                           −     =          =       = 1                        = 2 –     =        =      = 1
                        11    11      11       11     11                             11      11      11     11
        Example 5:  Simplify.
                                                                             1
                                       1
                                                                                   1
                       (a)    4  −  5  +                              (b)  2 +   3 −   1  5
                              9   12   2                                     3     6    12
                              4   5    1
        Solution:       (a)     −    +
                              9   12   2
                             LCM of 9, 12 and 2 is 36.

                               ×
                             44    =  16  ,  53×   =  15
                             94×      36    12 3×    36

                                   118×     18
                             and          =       (Convert unlike fractions to like fractions)
                                   218×     36

                             16  −  15  +  18   =  16 15 18−  +  =  34 15−  =  19
                             36    36    36         36            36      36

                               1
                                     1
                        (b)  2 +   3 −   1  5
                               3     6    12
                                7   19   17
                             =    +    −     (converting them into improper fractions)
                                3   6    12
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