ORDERING FRACTIONS

Use <, > or = to compare each set of fractions

How do we order these fractions:

49

56

15

There are other ways to order fractions.

1.Using Fraction Sense Close to 0, ½ or 2

49

56

15

0 ½ 1

2. Visual Reasoning

         

                 

           

49

56

15

east

ommon

ultiple

3. Renaming to Like Fractions

east

ommon

inominator

3. Renaming to Like Fractions

Find the LCM or LCD.

49

56

15

4090

7590

1890

5 =

9 =

6 =

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90

Compare the numerators.

4. Using PatternsOrder the fractions from Least to greatest.

23

29

27

25

, , , 29

27

25

23

, , ,

For fraction with the same numerators,

the bigger the denominator,

the smaller the value of that fraction.

4. Using Cross-ProductsDetermine the cross-product of the fraction.Compare the products.

49

56

The numerator that yields the bigger product is greater.

24 45

15

49

9 20

15

56

6 25

Order from greatest to least:

49

56

15

, ,

5. Mixed NumbersOrder 5 5/6, 5 ¾ , 5 7/8 from greatest to least.

Compare the whole number Find the LCD and change them to similar fractions.

5634

78

=

=

=

20241824

2124

The fraction that yields the greatest numerator is the greatest

55653

457

8

Order from greatest to least:

Exercises:

Order the fractions in descending order:

3 34

1. 3 58

3 12

6 34

6 23

7 1 10

1 26

1 36

1 46

2.

3.

4 27

4 37

4 57

4.

1 24

1 36

1 12

5.

What are the different ways of ordering fractions?

1)Using Fraction Sense2)Visual Reasoning3)Renaming to Like Fraction4)Using Patterns5)Using Cross-Products6)Mixed Number

What should be the basis in ordering fraction in ascending

order?

From lowest to highest fractions

What should be the basis in ordering fraction in descending

order?

From highest to lowest fractions

Read and Solve.

Perry helped his father do repair work in the yard for 1 ¼ hours, 1 ½ hours in the house, and 1 1/6

hours in the garage. What activity does Perry spend the most time?

least time?Answer:

Perry spend most time in the house.

Perry spend least time in the garage.

Evaluation:

Arrange the fraction in ascending order:

25

13

48

1. , ,

8 14

5 25

7 12

, ,2.

8 18

2 18

6 18

,3.

4. 58

,

, ,34

23

5. 34

, ,23

59

=

=

=

=

=

48

25

13

, ,

5 25

7 12

8 14

, ,

2 18

6 18

8 18

, ,

58

23

34

, ,

59

23

34

, ,

Assignment:

Arrange the fraction in descending order.

4 12

49

4 10

1 2

15

1 10

4 3

34

7 10

4 5

34

7 10

5 6

78

13 6

1.

3.

2.

4.

5.

6.

7.

8.

9.

10.

3 12

2 34

3 34

12

2 78

3 15

2 78

2 35

2 23

3 5 12

58

5 11

56

23

7 12