1. I CAN compare two fractions. I CAN order three or more fractions.

2. Vocabulary
like fractions
unlike fractions
common denominator

3. fractions. For example, and are unlike 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
___

4. Example 1: Comparing Fractions
A. Compare. Write <, >, or =. 6 7 __ 4 __ 7 6 7 __ __ 7 4
>
From the model, > . 6 7 __ 4

5. Example 1: Comparing Fractions
B. Compare. Write <, >, or =. 1 9 __ __ 5 9 1 9 __ __ 9 5
<
From the model, < . 1 9 __ 5

6. A. Compare. Write <, >, or =.
You Try! Example 1
A. Compare. Write <, >, or =. 4 6 __ __ 5 6 4 6 __ __ 6 5
<
From the model, < . 4 6 __ 5

7. B. Compare. Write <, >, or =.
You Try! Example 1
B. Compare. Write <, >, or =. 3 9 __ __ 2 9 3 9 __ __ 9 2
>
From the model, > . 3 9 __ 2

8. To compare unlike fractions without models, first rename the fractions so they have the same denominator. This is called finding a common denominator. This method can be used to compare mixed numbers as well.

9. Example 2: Cooking Application3 __ 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

10. Find equivalent fractions with 12 as the denominator.
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 = =

11. Compare the like fractions.
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.

12. Yes, Rachel and Hannah do have enough cabbage.
You Try! Example 2
Rachel and Hannah have cups of cabbage. They need cups to make pot stickers. Do they have enough for the recipe?
Compare and
>1 3 6 , so >1 1 2
Yes, Rachel and Hannah do have enough cabbage.

13. Order , , and from least to greatest.
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

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

15. Order , , and from least to greatest.
You Try! Example 3
Order , , and from least to greatest. 11 20
____ 3 5 __ 1 4 __ 11 20
_______
• 1 11 20 __ 3 5
_______
• 4 12 20 __ 1 4
_______
• 5 5 20 __
Rename with like denominators. = = =
• 1
• 4
• 5 1 4 __ 3 5
The fractions in order from least to greatest
are , , . 11 20

16. Reflection
CAN YOU compare two fractions? CAN YOU order three or more fractions?

17. Compare. Write <, >, or =. 1. 2.
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 __ 16 9 __ =
> 8 1 8 __ 3 8 __ 3 16 __ 3 8 __
__, 7
__ , 5 2 3 __ 8
__, 5 2 3 7 __ 3 4
__ , 5 8 6 __ 8 5 6 __
__, 3 4
__ , 8 8

18. HOMEWORK
p. 178: 1-22,45-50