2. Main Idea and New Vocabulary
Key Concept: Add and Subtract Like Fractions
Example 1: Add Like Fractions
Example 2: Subtract Like Fractions
Example 3: Add and Subtract Unlike Fractions
Example 4: Add and Subtract Unlike Fractions
Example 5: Add and Subtract Mixed Numbers
Example 6: Add and Subtract Mixed Numbers
Example 7: Real-World Example
Lesson Menu

3. Add and subtract rational numbers.
like fractions
unlike fractions
Main Idea/Vocabulary

4. Key Concept

5. ← The denominators are the same.
Add Like Fractions
← Add the numerators.
← The denominators are the same.
Simplify.
Answer:
Example 1

6. A. B.
C. 1 D.
Example 1 CYP

7. Subtract Like Fractions
Find Write in simplest form.
Subtract the numerators by adding the opposite of 9.
Rename as or
Example 2

8. Subtract Like Fractions
Answer:
Example 2

9. Find . Write in simplest form.A. B. C. D.
Example 2 CYP

10. Add and Subtract Unlike Fractions
Find Write in simplest form.
The LCD is 9 ● 5 or 45.
Rename using the LCD.
Add the numerators.
Simplify.
Example 3

11. Add and Subtract Unlike Fractions
Answer:
Example 3

12. Find . Write in simplest form.A. B. C. D.
Example 3 CYP

13. Add and Subtract Unlike Fractions
Find Write in simplest form.
To subtract – , add __ 5 6
The LCD is 8 ● 3 or 24.
Rename using the LCD.
Example 4

14. Add and Subtract Unlike Fractions
Add the numerators.
Simplify.
Answer:
Example 4

15. Find . Write in simplest form.A. B. C. D.
Example 4 CYP

16. Add and Subtract Mixed Numbers
Find Write in simplest form.
Add the whole numbers and fractions separately.
Add the numerators.
Simplify.
Answer:
Example 5

17. Find . Write in simplest form.A. B. C. D.
Example 5 CYP

18. Add and Subtract Mixed Numbers
Find Write in simplest form.
Write as improper fractions.
Subtract the numerators.
Simplify.
Example 6

19. Add and Subtract Mixed Numbers
Answer:
Example 6

20. Find . Write in simplest form.A. B. C. D.
Example 6 CYP

21. HEIGHTS In the United States, the average height of a 9-year-old girl is inches. The average height of a 16-year-old girl is inches. How much does an average girl grow from age 9 to age 16? __ 4 5 1
Example 7

22. Subtract the whole numbers and fractions separately.
Answer: An average girl grows inches from age 9 to 16. __ 2 5
Example 7

23. SNOW A cubic foot of ice weighs about pounds
SNOW A cubic foot of ice weighs about pounds. A cubic foot of heavy, wet snow weighs about pounds. How much more does a cubic foot of ice weigh than a cubic foot of snow? A. B. C. D.
Example 7 CYP