4-7 Comparing and Ordering Fractions

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpFind the missing number that makes the fraction equivalent.

1. 2.

3. 4.

9 8

15

Course 1

4-7 Comparing and Ordering Fractions

35__

15=

34__

20=

23__ ___

12=

58__

24= 15

Course 1

4-7 Comparing and Ordering Fractions

Problem of the Day

From 4:00 to 5:30, Carlos, Lisa, and Toni took turns playing the same computer game. Carlos played for hour, and Lisa played for hour. For how many minutes did Toni play the game?

34

___

12

___

15 minutes

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4-7 Comparing and Ordering Fractions

Learn to use pictures and number lines to compare and order fractions.

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4-7 Comparing and Ordering Fractions

Vocabulary

like fractionsunlike fractionscommon denominator

Course 1

4-7 Comparing and Ordering Fractions

When you are comparing fractions, first check their denominators. When fractions have the same denominator, they are called like fractions. For

example, and are like fractions. When two fractions have different denominators, they are called unlike

fractions. For example, and are unlike fractions.

6

7___ 4

7___

7

10___ 1

2___

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4-7 Comparing and Ordering Fractions

Additional Example 1A: Comparing Fractions

Compare. Write <, >, or =.

67__ 4__

7

67

__ __74

>

From the model, > .67

__ __74

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4-7 Comparing and Ordering Fractions

Additional Example 1B: Comparing Fractions

Compare. Write <, >, or =.

19__ 5__

9

19

__ __95

<

From the model, < .19

__ __95

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4-7 Comparing and Ordering Fractions

Check It Out: Example 1A

Compare. Write <, >, or =.

46__ 5__

6

46

__ __65

<

From the model, < .46

__ __65

Course 1

4-7 Comparing and Ordering Fractions

Check It Out: Example 1B

Compare. Write <, >, or =.

39__ 2__

9

39

__ __92

>

From the model, > .39

__ __92

Course 1

4-7 Comparing and Ordering Fractions

To compare unlike fractions, first rename the fractions so they have the same denominator. This is called finding a common denominator.

Course 1

4-7 Comparing and Ordering Fractions

Additional Example 2: Cooking Application

23

__

34

__Compare and .23

__

34

__

Find a common denominator by multiplying the denominators.

3 • 4 = 12

Ray has cup of nuts. He needs cup to

make cookies. Does he have enough nuts for the recipe?

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4-7 Comparing and Ordering Fractions

Additional Example 2 Continued

Find equivalent fractions with 12 as the denominator.

23

__12__=

23______

• 4=

• 4 __128

34

__12__=

34______

• 3• 3 __

129

23

__ 34

____128

=

=

= __129

Course 1

4-7 Comparing and Ordering Fractions

Additional Example 2 Continued

Compare the like fractions.

__128 __

129 2

3__ 3

4__ < , so < .

Since cup is less than cup, he does not

have enough.

23

__ 34

__

Course 1

4-7 Comparing and Ordering Fractions

Check It Out: Example 2

13

__

14

__Compare and .13

__

14

__

Find a common denominator by multiplying the denominators.

3 • 4 = 12

Trevor has cup of soil. He needs cup to

fill a small planter. Does he have enough soil to fill the planter?

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4-7 Comparing and Ordering Fractions

Find equivalent fractions with 12 as the denominator.

13

__12__=

13______

• 4=

• 4 __124

14

__12__=

14______

• 3• 3 __

123

13

__ 14

____124

=

=

= __123

Check It Out: Example 2 Continued

Course 1

4-7 Comparing and Ordering Fractions

Compare the like fractions.

__124 __

123 1

3__ 1

4__

> , so > .

Since cup is more than cup, he does have

enough.

13

__ 14

__

Check It Out: Example 2 Continued

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4-7 Comparing and Ordering Fractions

Additional Example 3: Ordering Fractions

Order , , and from least to greatest.45__

4 5

_______

23__

2 3

_______ 1 3

_______

• 3• 3

• 5• 5

• 5• 510

15__12

15__= == 5

15__ Rename with like

denominators.

13__

13

__ 23

__The fractions in order from least to greatest are , , .4

5__

5 15

1 3

10 15

2 3

0 1

12 15

4 5

Course 1

4-7 Comparing and Ordering Fractions

Numbers increase in value as you move from left to right on a number line.

Remember!

Course 1

4-7 Comparing and Ordering Fractions

Check It Out: Example 3

Order , , and from least to greatest.47__

4 7

_______

34__

3 4

_______ 1 4

_______

• 4• 4

• 7• 7

• 7• 721

28__16

28__= == 7

28__ Rename with like

denominators.

14__

14

__ 47

__

The fractions in order from least to greatest

are , , .34

__

7 28

4 7

16 28

3 4

21 28

1 4

0 1

Lesson Quiz

Compare. Write <, >, or =.

1. 2.

3. You drilled three holes in a piece of wood. The

diameters of the holes are , , and

inches. Which hole is the largest?

Order the fractions from least to greatest.

4. 5.

=

Insert Lesson Title Here

Course 1

4-7 Comparing and Ordering Fractions

78

__,

__84 >5

8__

169__

18

__ 38

__ 316__

36

__

58

__ , 23

__

8 __,5 2

3__, 7

8__ 3

4 __ , 5

8__ , 5

6__

85 5

6____, 3

4__ ,

38

__