1. Comparing and Ordering Fractions
4-6
Comparing and Ordering Fractions
Course 1
Warm Up
Problem of the Day
Lesson Presentation

2. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
Warm Up
Find the missing number that makes the fraction equivalent. 3 5 __ 2 3 __
___ 8 = 9 = 15 12 5 8 __ 3 4 __ = 15 = 15 24 20

3. Comparing and Ordering Fractions
Course 1
4-6
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? 1 2
___ 3 4
___
15 minutes

4. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
Learn to use pictures and number lines to compare and order fractions.

5. Vocabulary 4-6 Comparing and Ordering Fractions like fractions
Course 1
4-6
Comparing and Ordering Fractions
Vocabulary
like fractions
unlike fractions
common denominator

6. Comparing and Ordering Fractions
Course 1
4-6
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. 6 7
___ 4 7
___

7. Additional Example 1A: Comparing Like Fractions
Course 1
4-6
Comparing and Ordering Fractions
Additional Example 1A: Comparing Like Fractions
Compare. Write <, >, or =. 6 7 __ 4 A. __ 7 6 7 __ __ 7 4
>
From the model, > . 6 7 __ 4

8. Additional Example 1B: Comparing Like Fractions
Course 1
4-6
Comparing and Ordering Fractions
Additional Example 1B: Comparing Like Fractions
Compare. Write <, >, or =. 1 9 __ 5 B. __ 9 1 9 __ __ 9 5
<
From the model, < . 1 9 __ 5

9. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
Try This: Example 1A
Compare. Write <, >, or =. 4 6 __ 5 A. __ 6 4 6 __ __ 6 5
<
From the model, < . 4 6 __ 5

10. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
Try This: Example 1B
Compare. Write <, >, or =. 3 9 __ 2 B. __ 9 3 9 __ __ 9 2
>
From the model, > . 3 9 __ 2

11. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
When two fractions have different denominators, they are called unlike fractions. To compare unlike fractions, first rename the fractions so they have the same denominator. This is called finding a common denominator.

12. Additional Example 2: Cooking Application
Course 1
4-6
Comparing and Ordering Fractions
Additional Example 2: Cooking Application 2 3 __ 3 4 __
Ray has cup of nuts. He needs cup to
make cookies. Does he have enough nuts for the recipe? 3 4 __
Compare and . 2
Find a common denominator by multiplying the denominators.
3 • 4 = 12

13. Additional Example 2 Continued
Course 1
4-6
Comparing and Ordering Fractions
Additional Example 2 Continued
Find equivalent fractions with 12 as the denominator. 2 3 __ 12 __ 3 4 __ 12 __ = = 2 3
______
• 4 __ 12 8 3 4
______
• 3 __ 12 9 = =
• 4
• 3 2 3 __ __ 12 8 3 4 __ __ 12 9 = =

14. Additional Example 2 Continued
Course 1
4-6
Comparing and Ordering Fractions
Additional Example 2 Continued
Compare the like fractions. __ 12 8 __ 12 9 2 3 __ 3 4 __
< , so < 2 3 __ 3 4 __
Since cup is less than cup, he does not
have enough.

15. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
Try This: Example 2 1 3 __
Trevor has cup of soil. He needs cup to
fill a small planter. Does he have enough soil to fill the planter? 1 4 __ 1 4 __
Compare and . 3
Find a common denominator by multiplying the denominators.
3 • 4 = 12

16. Try This: Example 2 Continued
Course 1
4-6
Comparing and Ordering Fractions
Try This: Example 2 Continued
Find equivalent fractions with 12 as the denominator. 1 3 __ 12 __ 1 4 __ 12 __ = = 1 3
______
• 4 __ 12 4 1 4
______
• 3 __ 12 3 = =
• 4
• 3 1 3 __ __ 12 4 1 4 __ __ 12 3 = =

17. Try This: Example 2 Continued
Course 1
4-6
Comparing and Ordering Fractions
Try This: Example 2 Continued
Compare the like fractions. __ 12 4 __ 12 3 1 3 __ 1 4 __
> , so > 1 3 __
Since cup is more than cup, he does have
enough. 1 4 __

18. Order , , and from least to greatest.
Course 1
4-6
Comparing and Ordering Fractions
Additional Example 3: Ordering Fractions
Order , , and from least to greatest. 4 5 __ 2 3 __ 1 3 __ 4 5
_______
• 3 12 15 __ 2 3
_______
• 5 10 15 __ 1 3
_______
• 5 5 15 __
Rename with like denominators. = = =
• 3
• 5
• 5 5 15 10 15 12 15 1 1 3 2 3 4 5 1 3 __ 2
The fractions in order from least to greatest are , , . 4 5

19. Comparing and Ordering Fractions
Course 1
4-6
Comparing and Ordering Fractions
Numbers increase in value as you move from left to right on a number line.
Remember!

20. Order , , and from least to greatest.
Course 1
4-6
Comparing and Ordering Fractions
Try This: Example 3
Order , , and from least to greatest. 4 7 __ 3 4 __ 1 4 __ 4 7
_______
• 4 16 28 __ 3 4
_______
• 7 21 28 __ 1 4
_______
• 7 7 28 __
Rename with like denominators. = = =
• 4
• 7
• 7 21 28 7 28 16 28 1 1 4 4 7 3 4 1 4 __ 7
The fractions in order from least to greatest
are , , . 3

21. Comparing and Ordering Fractions Insert Lesson Title Here
Course 1
4-6
Comparing and Ordering Fractions
Insert Lesson Title Here
Lesson Quiz
Compare. Write <, >, or =.
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. 3 6 __ __ 4 5 8 __ 9 __ =
> 8 16 1 8 __ 3 8 __ 3 16 __ 3 8 __
__, 7
__ , 5 2 3 __ 8
__, 5 2 3 7 __
__ , 3
__ , 5 5 6 __ 8 5 6 __
__, 3 4
__ , 8 8 4 8