1. Mixed Numbers, Improper Fractions, Comparing and Ordering Fractions
#14

2. Vocabulary
An improper fraction is a fraction in which the numerator is greater than or equal to the denominator such as . 11 4 __
is read as “eleven-fourths.”
Reading Math 11 4
___

3. Vocabulary
Whole numbers can be written as improper fractions. The whole number is the numerator, and the denominator is 1. For example, 7 = .
When the numerator is less than the denominator, the fraction is called a proper fraction. 7 1 __

4. Example 1: Real-World Application9 4 __ 9 4 __
Ella hiked for hours yesterday. Write as a mixed number.

5. Brett’s favorite soup recipe calls for cups
Example 2 14 4 __
Brett’s favorite soup recipe calls for cups
of chicken broth. Write as a mixed number. 14 4 __

6. Example 3: Writing Mixed Numbers as Improper Fractions
Write 3 2/3 as an improper fraction.

7. Example 4
Write each mixed number as an improper fraction. 5 7 __ 6

8. Example 5
Write each mixed number as an improper fraction. 1 4 __ 3

9. Example 6
Write each mixed number as an improper fraction. 5 6 __ 2

10. fractions. For example, and are unlike fractions.
Vocabulary
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
___

11. Example 7: Comparing Fractions
Compare. Write <, >, or =. 6 7 __ 4 __ 7

12. Example 8: Comparing Fractions
Compare. Write <, >, or =. 1 9 __ __ 5 9

13. Example 9
Compare. Write <, >, or =. 9 15 __ 2 __ 5

14. Example 10
Compare. Write <, >, or =. 1 3 __ 9 __ 27

15. Vocabulary
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.

16. Trevor has cup of soil. He needs cup to
Example 11 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 __

17. Example 12 __ 6 1 __ 10 3
Natalie lives mile from school. Peter lives mile from school. Who lives closer to the school?

18. Order , , and from least to greatest.
Example 13 Ordering Fractions
Order , , and from least to greatest. 4 5 __ 2 3 __ 1 3 __

19. Order , , and from least to greatest.
Example 14
Order , , and from least to greatest. 2 3 __ 1 6 __ 2 5 __