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Comparing and Ordering
  Fractions and Mixed
        Number
       Lesson 7-12
Review
Review

Order the numbers from least to greatest.
Review

Order the numbers from least to greatest.
1. 0.5, 0.53, 0.05
Review

Order the numbers from least to greatest.
1. 0.5, 0.53, 0.05
2.1.7, 1.07, 1.77
Review

Order the numbers from least to greatest.
1. 0.5, 0.53, 0.05
2.1.7, 1.07, 1.77
3.2.96, 3, 2.99
Review

Order the numbers from least to greatest.
1. 0.5, 0.53, 0.05
2.1.7, 1.07, 1.77
3.2.96, 3, 2.99
    Hint: Line up the decimals
Review
Find the LCM of 4 and 8.
Review
Find the LCM of 4 and 8.

 4:
Review
Find the LCM of 4 and 8.

 4:
 8:
Review
Find the LCM of 4 and 8.

 4: 4, 8, 12, 16, 20
 8:
Review
Find the LCM of 4 and 8.

 4: 4, 8, 12, 16, 20
 8: 8, 16, 24, 32, 40
Review
Find the LCM of 4 and 8.

 4: 4, 8, 12, 16, 20
 8: 8, 16, 24, 32, 40
Review
Find the LCM of 4 and 8.

 4: 4, 8, 12, 16, 20
 8: 8, 16, 24, 32, 40
Review
Find the LCM of 4 and 8.

 4: 4, 8, 12, 16, 20
 8: 8, 16, 24, 32, 40
  Which is the least of 8 and 16?
Review
Find the LCM of 4 and 8.

 4: 4, 8, 12, 16, 20
 8: 8, 16, 24, 32, 40
  Which is the least of 8 and 16?

          LCM is 8
When working with
   fractions...
When working with
     fractions...

The LCM becomes the LCD
When working with
     fractions...

The LCM becomes the LCD
LCD means Least Common
Denominator
Which is greater?
Which is greater?




1   3
    8
Which is greater?




13
 82            1
               5
Which is greater?




1 2     3
        8
                               1
                               5
     Check the whole number first.
The mixed number with the larger whole
         number is GREATER.
Which is greater?




1 2     3
        8
                               1
                               5
     Check the whole number first.
The mixed number with the larger whole
         number is GREATER.
Which is greater?
Which is greater?



25
 8
Which is greater?



2 2
 5
 8
               3
               4
Which is greater?



2 2 5
    8
                              3
                              4
If the whole numbers are the SAME,
   you must compare the fractions.
Which is greater?



2 2 5
    8
                              3
                              4
If the whole numbers are the SAME,
   you must compare the fractions.

BUT the denominator are different.
Which is greater?



2 2   5
      8
                                 3
                                 4
  If the whole numbers are the SAME,
     you must compare the fractions.

   BUT the denominator are different.

You must use LCM to find the LCD.
Which is greater?



2 2
 5
 8
               3
               4
Which is greater?

 5             3
 8             4
Which is greater?

  5                      3
  8                      4
STEP ONE: Find the LCM of the
    denominators 8 and 4
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8:
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8:
4:
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8: 8, 16, 24, 32, 40
4:
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8: 8, 16, 24, 32, 40
4:     4, 8, 12, 16, 20
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8: 8, 16, 24, 32, 40
4:     4, 8, 12, 16, 20
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8: 8, 16, 24, 32, 40
4:     4, 8, 12, 16, 20
Which is greater?

       5                      3
       8                      4
     STEP ONE: Find the LCM of the
         denominators 8 and 4
8: 8, 16, 24, 32, 40
                            LCM = 8
4:     4, 8, 12, 16, 20
Which is greater?



2 2
5
8
             3
             4
Which is greater?

5           3
8           4
Which is greater?

5
8
3
4
Which is greater?

5             STEP TWO: Set up
          NEW DENOMINATORS


8
         using the LCD (The LCM
                 from Step One).



3
4
Which is greater?

5             STEP TWO: Set up

  =       NEW DENOMINATORS


8
         using the LCD (The LCM
                 from Step One).



3=
4
Which is greater?

5             STEP TWO: Set up

  =       NEW DENOMINATORS


8 8
         using the LCD (The LCM
                 from Step One).



3=
4 8
Which is greater?

5             STEP TWO: Set up

  =       NEW DENOMINATORS


8 8
         using the LCD (The LCM
                 from Step One).



3=             STEP THREE: Find
         the equivalent fractions

4 8             using “The Rule”
Which is greater?

5 x1          STEP TWO: Set up

  =       NEW DENOMINATORS


8 x1 8
         using the LCD (The LCM
                 from Step One).



3=             STEP THREE: Find
         the equivalent fractions

4 8             using “The Rule”
Which is greater?

5 x1 5        STEP TWO: Set up

  =       NEW DENOMINATORS


8 x1 8
         using the LCD (The LCM
                 from Step One).



3=             STEP THREE: Find
         the equivalent fractions

4 8             using “The Rule”
Which is greater?

5 x1 5        STEP TWO: Set up

   =      NEW DENOMINATORS


8 x1 8
         using the LCD (The LCM
                 from Step One).



3 x2
   =
               STEP THREE: Find
         the equivalent fractions

4 x2 8          using “The Rule”
Which is greater?

5 x1 5        STEP TWO: Set up

   =      NEW DENOMINATORS


8 x1 8
         using the LCD (The LCM
                 from Step One).



3 x2 6
   =
               STEP THREE: Find
         the equivalent fractions

4 x2 8          using “The Rule”
Which is greater?

     5
     8
     6
     8
Which is greater?

     5       Don’t forget
           about the whole

     8        numbers.




     6
     8
Which is greater?



2    5
     8
             Don’t forget
           about the whole
              numbers.




2    6
     8
Which is greater?



2    5
     8
             Don’t forget
           about the whole
              numbers.




2
             With the new

     6         equivalent
            fractions, which


     8
               is larger?
Which is greater?



2    5
     8
             Don’t forget
           about the whole
              numbers.




2
             With the new

     6         equivalent
            fractions, which


     8
               is larger?
Order the distances from least to greatest



2 2 2  5
       8
                       1
                       2
                                     3
                                     4
Order the distances from least to greatest

       5               1             3
       8               2             4
Order the distances from least to greatest

       5
       8
       1
       2
       3
       4
Order the distances from least to greatest

       5                     The LCM of 8,2,4
                         is 8. So the LCD is 8
       8
       1
       2
       3
       4
Order the distances from least to greatest

       5 =                   The LCM of 8,2,4
                         is 8. So the LCD is 8
       8
       1
         =
       2
       3 =
       4
Order the distances from least to greatest

       5 =                   The LCM of 8,2,4
                         is 8. So the LCD is 8
       8 8
       1
         =
       2 8
       3 =
       4 8
Order the distances from least to greatest

       5 =                   The LCM of 8,2,4
                         is 8. So the LCD is 8
       8 8
       1
         =            Find equivalent fractions

       2 8                    using “The Rule”


       3 =
       4 8
Order the distances from least to greatest

       5 = 5                 The LCM of 8,2,4
                         is 8. So the LCD is 8
       8 8
       1   4
         =            Find equivalent fractions

       2 8                    using “The Rule”


       3 = 6
       4 8
Order the distances from least to greatest

       5 = 5                 The LCM of 8,2,4
                         is 8. So the LCD is 8
       8 8
       1   4
         =            Find equivalent fractions

       2 8                    using “The Rule”


       3 = 6               Determine which is

       4 8                   least to greatest
Order the distances from least to greatest

               5
               8
               4
               8
               6          Determine which is

               8            least to greatest
Order the distances from least to greatest

               5
               8
      4
      8
               6          Determine which is

               8            least to greatest
Order the distances from least to greatest




      4               5
      8               8
               6          Determine which is

               8            least to greatest
Order the distances from least to greatest




      4               5                6
      8               8                8
                          Determine which is
                            least to greatest
Order the distances from least to greatest

                            Don’t forget the
                            whole numbers

      4               5                6
      8               8                8
                          Determine which is
                            least to greatest
Order the distances from least to greatest

                            Don’t forget the
                            whole numbers




2 2 2 4
      8
                      5
                      8
                                       6
                                       8
                          Determine which is
                            least to greatest
Compare. Write > < =.
Compare. Write > < =.

2         3
3         7
Compare. Write > < =.

2         3      Denominators
                 are different

3         7
Compare. Write > < =.

2         3      Denominators
                 are different

3         7       Find the LCM

                 Find equivalent
                       fractions
                      using LCD
                          (LCM).
Compare. Write > < =.

   2                3        Denominators
                             are different

   3                7         Find the LCM

                             Find equivalent
3: 3, 6, 9, 12, 15, 18, 21         fractions
                                  using LCD
                                      (LCM).
Compare. Write > < =.

   2                3        Denominators
                             are different

   3                7         Find the LCM

                             Find equivalent
3: 3, 6, 9, 12, 15, 18, 21         fractions
                                  using LCD
  7: 7, 14, 21, 28, 35                (LCM).
Compare. Write > < =.

   2                3        Denominators
                             are different

   3                7         Find the LCM

                             Find equivalent
3: 3, 6, 9, 12, 15, 18, 21         fractions
                                  using LCD
  7: 7, 14, 21, 28, 35                (LCM).
Compare. Write > < =.

   2                3        Denominators
                             are different

   3                7         Find the LCM

                             Find equivalent
3: 3, 6, 9, 12, 15, 18, 21         fractions
                                  using LCD
  7: 7, 14, 21, 28, 35                (LCM).
                     LCM = 21
2
3
2
3
3
7
2   LCM = 21


3
3
7
2   LCM = 21


3   Set up for
    equivalent

3    fractions


7
2     LCM = 21
  =
3     Set up for
      equivalent

3      fractions

  =
7
2      LCM = 21
  =
3 21   Set up for
       equivalent

3       fractions

  =
7 21
2      LCM = 21
  =
3 21   Set up for
       equivalent

3       fractions

  =
7 21   Apply the
         rule
2 14   LCM = 21
  =
3 21   Set up for
       equivalent

3       fractions

  =
7 21   Apply the
         rule
2 14   LCM = 21
 =
3 21   Set up for
       equivalent

3 9     fractions

 =
7 21   Apply the
         rule
2   3
3   7
2    3
3    7
14    9
21   21
2        3
3        7
14
21   >    9
         21

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7-12 Compare/Order Fractions & Mixed #s

Editor's Notes

  1. 0.05, 0.5, 0.53 1.07, 1.7, 1.77 0.12, 0.21, 0.22
  2. 0.05, 0.5, 0.53 1.07, 1.7, 1.77 0.12, 0.21, 0.22
  3. 0.05, 0.5, 0.53 1.07, 1.7, 1.77 0.12, 0.21, 0.22
  4. 0.05, 0.5, 0.53 1.07, 1.7, 1.77 0.12, 0.21, 0.22
  5. 0.05, 0.5, 0.53 1.07, 1.7, 1.77 0.12, 0.21, 0.22