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ADDING IS NOT THAT EASY



    To add;   3/2+5/3, first we have to calculate the least common divisor which is
  2*3 = 6.
  then,
        3/2+5/3 =  (9+10)/6 = 19/6.
 Why do we adopt this procedure?
 
      We cannot add apples and oranges. Similarly 3/2 and 5/3 belongs to different categories.  3/2 has 3 times 1/2 and 5/3 has 5 times 1/3.  Hence we cannot directly add them.  First we should bring them to a common platform .  Here LCD 6 comes to our help.   1/6 happens to be the common factor for both the fractions.

9 times 1/6 gives  3/2
              9*(1/6) = 3/2
10 times 1/6 gives 5/3
            10*(1/6) = 5/3
     So instead of adding 3/2 and 5/3; we can easily add 9/6 and 10/6 and get the answer.
                               9/6  +  10/6  =  (9+10)/6  =  19/6
                              
     Take a white sheet of unit area  and draw the lines as shown in the figure.  Each line goes on halving the area(Note:  Paper size A series is based on this principle). Now I want to add all the segments' area and get the answer 1.   Adding the fractions using our rule,

S = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/64

Note:There are two 1/64 area

=32+16+8+4+2+1+1/64 = 64/64 = 1

    Even if the series goes to infinity, the sum will converge at one.


EARTH FROM MOON
     

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