Fractions by HC111123013553

VIEWS: 21 PAGES: 18

									                       1 2            1 2        1 2
                    3 4  1 2                     22 15
           36         4 5  3        4 5        4 5        1
  4
    1               7 9    4 54                       29
                                                       36
2          76
          15            1 24
                          2                                 3
       22      10 15 
  7 3    15
          29            4 5 7 10
                                                          15
                                                       76 22
36 15 22       15 22 29
  22     29 4 Fractions 4 15                                29
76 29 2 3 2
     1                      2                          22
                                                          15
                      7       1 24
                                   27       74
                                             3            29
      4 5           4       3 4
    4           1 2                             7 9
  2                        7 9 4   5
   15 1 2       4 5                                              4
22 7                     1                                    2
  29 4 5               Rules for          15
                                                                 7
                          3
                Avoiding Common Errors 22
                 4               36
      10        2                                       29
   15                36
                  7 15          
                                  3
                                             76
22    15                                      15
   29          36 22 76           4         22          36
                    29                  4        29
               76                     2                 76
                                        7
             40
Simplifying         Reduce
             10
       4  10     4
    =           =     = 4
        1  10    1
          10 = Greatest Common Factor

Write the numerator and denominator as a product of factors,
then cancel common factors and obtain the result.
             16
Simplifying
             72
        44       4                        22             2
    =           =                     =                =
        4  18    18                       29             9


 Write the numerator and denominator as a product of common
 factors then cancel the common factors and obtain the result.


Repeat the simplification process until all common factors are removed.
  Converting Mixed Numbers

   5 1
     3
                            +                 16
                                        =
                                                3

Multiply the whole number by the denominator
    Add the numerator to the result
         Place over the initial denominator
                                 Compute the final result
  Converting Mixed Numbers

   6 2
     9
                            +                 56
                                        =
                                                9

Multiply the whole number by the denominator
    Add the numerator to the result
         Place over the initial denominator
                                 Compute the final result
Multiplying

3 10   3 10  3 2 5    15
                         
    =      =        =
8 11   8 11   4 2 11   44

a c  ac
        Fraction Multiplication
b d bd
                       Fraction Simplification
Multiplying

2 15   2 15  2 3 5   5  
                         
    =      =       =
3 4    3 4    3 2 2   2

a c  ac
        Fraction Multiplication
b d bd

                       Fraction Simplification
Dividing
12       3   12                                  7 28
          =               = 34            
                                                 3
                                                   =
 5       7    5                5                     5


     a c a d
                Fraction Division
     b d b c
           Fraction Simplification and Multiplication
                4          8
Dividing      4
                5
                         15
                             =

24     8 24
      =                  = 38            
                                                35
                                                 8
 5    15  5                   5
                                  9
                           =        = 9
                                  1
     a c a d
              Fraction Division
     b d b c
                                 Fraction Simplification
                  Fraction Multiplication
Mixed Number Conversion
Adding/Subtracting
                     Fraction Simplification



3 - 1    =           = 2 = 1
8   8                  8   4
  8
    a b  ab
           Fraction Addition/Subtraction
    c c   c
Adding/Subtracting

11   2 = 11  2 ??? 11 + 8
          11 2 4
   +        +      =
28   7 28  7 4
          28 7        28 28
                    = 11 + 8 = 19
             28         28     28

   a b   ab
       Denominator = ??????
Common 
            Fraction Addition/Subtraction
   c c    c
      Rules of Fractions Review
•   Fraction Simplification
•   Mixed Number Conversion
•   Fraction Multiplication
•   Fraction Division
•   Fraction Addition/Subtraction
21
       YOU TRY IT     13
 8                    45
      3 1    5   4
     2        
      8 4    9 15

     3 12     5   4
               
     2 15    12 3
6                      5
5                     16
  Fractions: Steps for Success
1. Know the fraction rules and how to apply
   them
2. Show your work and write out each step
3. Check your work for errors or careless
   mistakes
 3 1   19 + 1
2   =              Mixed Number Conversion
 8 4    8   4
        19    2 Fraction Addition
      =    +
         8    8
        21
      =      Fraction Addition
         8
5   4   25 - 12
     =           Fraction Subtraction
9 15    45   45

        13
      =      Fraction Subtraction
        45
3 12     3           3  4 Fraction Simplification
      =
         2
                 
2 15                 35
         3   
                     4
       =                 Fraction Simplification
         2           5
         3   
                     2  2 Fraction Simplification
       =
         2            5
         3   
                     2 Fraction Simplification
       = 1           5
         6
       =         Fraction Multiplication
         5
 5   4    5     3
      =            Fraction Division
12 3     12     4
          5    3
       = 34  4         Fraction Simplification


         5  1
       =              Fraction Simplification
         4   4
          5
       =      Fraction Multiplication
         16

								
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