Page 32 - WCS - Electrical
P. 32

WORKSHOP CALCULATION & SCIENCE  - CITS


           Square root, Ratio and Proportions, Percentage -

           Changing percentage to decimal and fraction

                                                                                                      1
                                                                                                         1
                      1  1
           Conversion of Fraction into Percentage                                                    87   87 1 %
                                                                                                       %
                        1
                      2
                       1 2
           1  Convert     into percentage.                   2  2                                    87 2 1 % 2
                                                               2
                                                                                                    87
                                                                                                        % 2
                        2
                                                             3
             1
                                                                                             1
              1       1 2  1                                 2 3                            87  1 %   2
                                                              3
                                                                                           87
                       ×
                         100100
                        1 ×
                                                                                              Solution
                                                                                              2
              2 2 Solution                 = 50 %     2  2   3  3  3                         2   %    :  30 30 0.3 0.3
                                                                                                          =
                                                                                                 Solution
                                                                                                         :
                                                                                                              =
                                                                                                         30
                      2
                                                                3
                      1 × 2
                          100
                                                               3 8
                                                                                                       30100
                                                                                                       :
                        × 2 100                     3 3       8  8                              Solution 100  = = 0.3
                                                                                                            0.3
                                                                                              Solution
                                                                                                      : 100
             1 1      2                              3        8                                        100

                                                                                              30
                100
                        1   1
              ×
                                                                                               30
                 100
               ×
           2  Convert      into percentage           8  3      24  24                Solution : : 100  = = 0.3  1    1
                                                                                      Solution
                          1
                                                                                                     0.3
             2
              2
                      11
                                                                24
                        1 11
                                                                                                        %
                                                                                                        1 %
                                                               24100
                        11                            8      100                              100   33   33
                                                                                                      33 3
                                                                                                       1 % 3
                                                               100
                      1
               1 Solution:  11   1  100100            24     100                                    33   % 3
                1
                                                       24
                       ×
                                                                                                       3
                                100
                                                                                                       1
             11     11   1 100 = 100 =×  100 11     100        6   6                            1  1 % %  33 33  1  100100
                          100 = 11
                         ×
                                                                                           33
                      1 11
              11
                                                                                            33

                                                                6
                                                                                                             100
                                                                                                         1
                                                                                              3
                       ×
                                                             25
                                                                                               3
                                                                                                             3
                                                                                                      33 3
                                                                                                                3

  1          1       11 11 100 =  11 11              100       6 25 %                        Solution :  33 3 3  100 =  100100 1 × 1 1
                                                                 1
                                                                                                                      ×
                                                                                                       1 =
                                                                                                            =
                                                                                                      :
                                                                                                                    =
                                                                                              Solution
                     100
                                                                                                                    100
                      100
              1
                                                               25
                                                              87
                                                                                                              3
                       1  1
               100 =
                                                                                                                  100
                                                                                                                       3
               ×
                                                                                                                         1 100

                100 =  2
                                                             25 1
                                                                                                       3
                                                                                              1
                                                                                                   100

                                                       6
                      11
                         1
                                                                                                         =
                                                                                               1
  1 2   1    11 ×                  = 9.01 %           6       33 1 2 1   87  1 %           33 Solution : 100100 =100       3 100  =     =    100 × 1003  3 × 100
                                                                                            Solution
                                                                                                   :100
                                                                                                      100
             11
                       11
                                                                33
                       4
                                                                 1
                                                                                             1
                        1 4  2
                                                             87
                                                                 %
                                                                                            33

                       3
 2         Convert the following fraction into percentage. 25    33 3 1 3  2               = 3 = 1  3 100 100 100   1 1  3  100
                                                                                                0.333 0.333 100
                       2
 2                       4                           25         2                 Solution :   1 = 3 =  = 3  =  ×
 1            1        4  1  1  3                            33 3                  Solution :  1 = 3  = 3 = 0.333  =  ×
                                                                                                   100

                                                                                            100

                                                                                                                100
                                                                                                    100
 × 100     1   1       3  3                             1 1    3 30                        100  = 3  0.333        3 3  100
                                                                                            =
                                                                       0.3
                                                                     =

  1 2  1 × 100  4 4     3 5 8  1                     33       Solution : 1 100 100100  1 1   3

                                                    33
 1
                         1 5  3
                                                                        30
                                                               1 %
                                                                  1
                                                             87 30
                                                                      :
                                                                           =
                                                                             0.3
                                                                                         0.333
                                                            33 33
                                                                      0.3
                                                                    =
                                                                1 2 :
 2 × 100  2            2  5    8                       3 3 Solution Solution 100  100100 1 = = 3  = = 0.333     1    1
                                                                       100
 2
                        5
                                                                                                            %
                                                              33 3
                                                                     3
                                                                        3
                        8
                                                                                                            1 %
   1       2    1  1   3   24                        Solution :  33 3 3  100 =  =  ×  × 1  1 3         12   12
                                                               1 = 100
                                                              :
                                                      Solution
                                                                    =
                                                                            100
                                                                                                         12 2
                                                                      3

                                                            : 100100 1
                                                                                 1 100
                                                                               3

                                                                          100
                                                     Solution
                                                               3
                                                      1
                                                                                                            % 2
                                                           :10033
                                                                 = %
 1   1 11    1  5 5     3 100    24                Solution 100 100 30 = 100       3 100  =     =    100 × 1003  3 × 100  12  1 % 2
                                                       1
 × 100                   24                        33 1  Solution    3     1                       1 1    2
                                                    33
                                                        1
                                                                      =
                                                               : 1
                                                                         1
                                                                  100 33
 2
                              100
                                                                                               12
 100
   1 11  11  Conversion of Percentage into Fraction  :  = 3 1 = 3 =  3 100 100 100 0.3 1 %  3  100  12  % %
                                                             3 = 100 %
                                                                     ×
                                                              33
                                          Solution
                        8
                                                                 =
                       100
                                                     1 = 3
 × 100 =   1  Convert 24% into fraction.   Solution : 100  3 =    100    3  3 3  × 3             2 2
                                                                       100
                                                           100

                                                                        100

                         6
                                                    100
   1
 11
 11
   1   1 100 =  100  100    24    6         1      =   3 3     33  1  100
 100 =
 ×
 ×
                                                                                    1
                                                                             100
                        25
                                                                 3
                         6
                                                                      100
 11 11  11  11  11     Solution:          =  25  = = 3 1     Solution   : 33  1 1 = 33 3 1  = 100  × 100  1
                                                                  %
                                                              33
                                                                                   100
  1
                       100
                                                                        3   0
                                                                      10
                                                                              3 3
                                                               100

                                             3

                       25 1
                                                                       3
                                                                 3 :ion
                                                             :
 100
                                                                             100
   1 4 100 =  1          33 3     1                  Solution Solut3  =     100    = =    100    × = 1 3  × 100
                                                        1
  1
                                                              100
                                                                              3
                                                                      100
                                                                                  100
 ×
                                                           0.333
                         1
                             33
                         6
                                                              1
 11 4 1  4 11  2  Convert           %  into fraction.    = = 1 3 = = 0.333 = 1  100  100  1
                      33
                                3
                                                              33 0.333
                                                            =
                         3
                       25
                                                                       3
                                                       3
  1  1 5   1           33 1 1  100                   Solution :  3  3    =     100     =  3  × 100
                                                              100
                                                                     1

                                            1
                                     100
                      33 3
                             100
 4 5  5         Solution : 33  1 = 33 3 1  = 100  ×  100  1  =  1  =  0.333   12 2 %    1
                         3
                                      3 3

                       100
                              10
                                           1
                               3
                         3
  1          Solution Solution = :  100 3   0 = =    100    × = 100  × 100  3  12  1 %  12  2  %
                     :
                                            3
                                    100
                                                                    2
                1
 5              =  3  100 1     100     3  100
                             100
                      1
             =  1   =  33  3   3    100    1                       12 1 %
                      3
                                   =
             Solution
                                        ×
                           =
                     :
               3
           Convert the following percentage into fraction           2
                                     3

                      100

                                          100
                             100
           1  15%
               1
             =

  1        2   3 87  1 %
 2   2           2
 3         Conversion of Decimal Fraction into Percentage
 1         1  Convert 0.35 into percentage.
 × 100   3        30
 2       Solution :   = 0.3
 8            Solution: 0.35 x 100
                 100
   1                         = 35%
   24
                  1
 11        2  Convert 0.375 into percentage.
                   %
               33
 100              3
   1  100     Solution: 0.375 x 100
 × 100 =    6                      = 37.5%
 11  11        33  1   100
 25   Solution :  3  =  3   =  100  ×  1
  1     1      100       100     3  100
 4  33 3  =  1  = 0.333                                    19
  1     3                                   CITS : WCS - Electrical - Exercise 3
 5     1  100
 33  100  1          1
 Solution :  3  =  3  =  ×  12  2 %
 100     100     3  100
 1
 =
 3
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