14 August, 2015

Simplification

Tricks to Simplifying an expression


Tips:
  1. Remove all bars
  2. Remove brackets in the order (), [] & {}
  3. Apply the operation in the order of Division -- Multiplication -- Addition -- Subtraction
          You just need to remember the word "BODMAS" where...
                       B ->> Bracket    O ->>Of    D ->> Division    M ->> Multiplication
                       A ->> Addition    S --> Subtraction 

           Ex:1: Simplify 108/36(2/4+2/5*3(1/4))
                     ==> Expression = 108/9+2/5*13/4
                     ==>108/9+13/10 ==> [12+13/10) => 133/10 =>13(3/10)

            Ex:2: Highest points in a game was 2/9 of the total. And the next highest was 2/9 of the remainder. If the points differed by 8 then find the total points.
                     ==> Consider total points as 'x'. Highest points = 2x/9
                     ==> Remainder = [x-2x/9] =>7x/9.
                     ==> Next highest = 3/9 Of 2x/9 ==> 6x/81
                     ==> 2x/9 - 6x/81 =8
                     ==> 12x=8*81
                     ==> x= [8*81]/12
                     ==> x=54


You could also look at below shortcut technics:

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