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					Adding and Subtracting Fractions



                By
           Zaccary Bradt
                Table of Contents
1.Adding Fractions                   3 a.With Like
   Denominators                  4
   b.With Unlike Denominators            5

2.Subtracting Fractions              6
    a.With Like Denominators             7
    b.With Unlike Denominators           8
    c.Regroup and Rename                 9
                                             pg. 2
   Adding Fractions: With Like Denominators
• When there are like denominators,
                                       ex:
  all you do is add the numerators.
• Keep the denominator the same.
  Simplify if needed.                   4
                                        7    6
                                        2
                                      + 7
                                        6
                                        7        pg. 4
 Adding Fractions: With Unlike Denominators
• When the fractions have unlike
  denominators, find a common
                                              ex:
  denominator by finding the Least
  Common Multiple(LCM).
                                              3 x3 9
• Multiply the numerator of each fraction
  by the same number you multiply the         8 x3 24
  denominator to get the common
                                              3 x4 12
  denominator.
• Add. Simplify if needed.                  + 6 x4 + 24
                                                     21   7
                                                     24   8   pg. 5
           Subtracting Fractions: With Like
                    Denominators
• Subtracting fractions with like      ex:
  denominators is just like adding
  fractions with like denominators,
  except you subtract instead of        7
  add.                                  8
• Subtract the numerators. Simplify     3
  if needed.
                                      - 8
                                        4    1
                                        8    2   pg. 6
          Subtracting Fractions: With Unlike
                    Denominators
• Subtracting fractions with unlike
  denominators is just like adding       ex:
  fractions with unlike denominators,
  except you subtract instead of add.
                                          5    15
• Find LCD just like in adding
  fractions with unlike denominators      8    24
  and multiply numerators.
                                          1     4
• Subtract. Simplify if needed.
                                        - 6    24
                                               19
                                               24   pg. 8
  Subtracting Fractions: Regroup and Rename
• When subtracting fractions, there
                                         ex:
  may be a problem like1 1/3-2/3.
  Then you have to regroup the 1 1/3     0
  to 1/3+3/3=4/3.                        1 1/3+3/3=4/3
• 4/3-2/3=2/3.
                                       - 2/3      - 2/3
• Subtract. Simplify if needed.
                                                    2/3



                                                          pg. 9

				
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posted:2/18/2013
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