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Mr. Williams
5.5  Ordering Fractions                                                                          GESD
                                                                                      jwilliams@gesd40.org
                                                                               http://mrwilliams.edublogs.org




                                        Image: 'Fractional Hugs and Kisses'
                                 www.flickr.com/photos/84617037@N00/60431147


                   Objective: Compare and order fractions.




                                                                                                                1
Vocabulary
Least Common Denominator (LCD)    ­    the least common multiple of the 
denominators of two fractions.




                                                                   Image: 'Chairs'
                                                 www.flickr.com/photos/46555636@N00/2981776




                                                                                              2
Which is larger?
                        3                       7
Compare              and          . Which is larger?
                        4                       8


 http://www.shodor.org/interactivate/activities/FractionSorter/




                                                                  3
Comparing Fractions using the LCD.
                      5                     7
Compare           and         .
                      6                     9
             1. Find the LCD: The LCD of 6 and 9 is 18.



      5   5 x 3                        15                       7   7 x 2     14
                                                                            = 18
      6
        =
          6 x 3                      = 18                       9 = 9 x 2

                                  Which is bigger?        15        14
                                                                   or
                                                          18        18




                                                                                   4
5         2   1        1    >
9         9   6        8    >

                            =
5        3    2         6   <
7        4    5        15




                                5
Ordering Fractions
                                                 3          2         1
 Order the fractions        ,        ,         from least to greatest.4
                                                10          5


1. What is the LCD of 10, 5, and 4?
     Your right, it's 20!

2. Make equivalent fractions using 20 as the denominator.
       3  x 2        6
                       =
      10 x 2       20
       2   x 4       8    =
       5   x 4      20
       1   x 5        5 =
       4   x 5       20  




                                                                          6
Order the following fractions from least to greatest in your math notes!


      3       2      5                                         5      3       7
      4       3      8                                         9      4      12




                                                                                  7
8

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5.5 Ordering Fractions

  • 1. Mr. Williams 5.5  Ordering Fractions GESD jwilliams@gesd40.org http://mrwilliams.edublogs.org Image: 'Fractional Hugs and Kisses' www.flickr.com/photos/84617037@N00/60431147 Objective: Compare and order fractions. 1
  • 2. Vocabulary Least Common Denominator (LCD)  ­  the least common multiple of the  denominators of two fractions. Image: 'Chairs' www.flickr.com/photos/46555636@N00/2981776 2
  • 3. Which is larger? 3 7 Compare              and          . Which is larger? 4 8 http://www.shodor.org/interactivate/activities/FractionSorter/ 3
  • 4. Comparing Fractions using the LCD. 5 7 Compare           and         . 6 9 1. Find the LCD: The LCD of 6 and 9 is 18. 5 5 x 3 15 7 7 x 2 14 = 18 6 = 6 x 3 = 18 9 = 9 x 2 Which is bigger? 15        14 or 18        18 4
  • 5. 5         2 1        1 > 9         9 6        8 > = 5        3 2         6 < 7        4 5        15 5
  • 6. Ordering Fractions  3 2 1 Order the fractions        ,        ,         from least to greatest.4 10 5 1. What is the LCD of 10, 5, and 4?      Your right, it's 20! 2. Make equivalent fractions using 20 as the denominator.  3  x 2        6 = 10 x 2       20 2   x 4       8    = 5   x 4      20 1   x 5        5 = 4   x 5       20   6
  • 7. Order the following fractions from least to greatest in your math notes! 3       2      5 5      3       7 4       3      8 9      4      12 7
  • 8. 8