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Math 0300 Notes: Fractions by vLqjRHz

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									                        FRACTION OPERATIONS

 Multiplication: Multiply the tops, Multiply the bottoms, reduce

 Division: 1. Flip 2nd fraction over, change to multiplication
           2. Multiply the tops, Multiply the bottoms, reduce

 Addition & Subtraction: (Look at the bottom number, the denominator)
     Type I: Same denominators                     Type II: Different denominators
        Keep bottom number             * Butterfly Method
        Add/Subtract the tops          * Common Denominator Method
        Reduce
 Mixed Numbers: Change to improper
 Whole Numbers: Change into a fraction by writing it over a ‘1’.


Butterfly: * Bottom Number: Multiply bottoms = new bottom

                          2       4
                              +           =
                          3       5           15

       *To get the top number: Cross-multiply
       2        4          2        4      2     4    22
           +                   +              +     =
       3        5          3        5      3    5     15
      10                  10       12     10 + 12 = 22 (New Top Number)
Common Denominators:
      Find LCD (same as LCM) of the denominators
                  2      3       1
                     +       +        LCM of 3, 4 and 6 =12
                  3      4       6
      Change all bottoms to the LCD

                     2   3            1
                       +   +
                     3   4            6
                          +      +
                      12      12     12
         Figure out what number you multiplied by to change each old denominator
           into a 12 and multiply the top by the same number
            2 x4 = 8        8
            3 x4 = 12      12
                                    Now that you have the same denominators
            3  x3 = 9       9
                                       *add the tops, keep the bottoms, reduce
            4 x3 = 12      12
                                            8 + 9 + 2 = 15
             1 x2 = 2       2                19
         +               +                 =
             6 x2 = 12     12                12

								
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