1. 3
Chapter
Chapter 2
Fractions and Mixed Numbers

2. Operations on Mixed Numbers
Section
3.7
Operations on Mixed Numbers

3. Graph Positive and Negative Fractions and Mixed Numbers.
Objective A
Graph Positive and Negative Fractions and Mixed Numbers.

4. Example
Graph the numbers on a number line:

5. Multiply or Divide Mixed or Whole Numbers.
Objective B
Multiply or Divide Mixed or Whole Numbers.

6. Multiplying or Dividing Fractions and Mixed Numbers or Whole Numbers
To multiply or divide with mixed numbers or whole numbers, first write any mixed or whole numbers as improper fractions and then multiply or divide as usual.

7. Example
Divide
Objective C

8. Example
Multiply 10 by
Objective B

9. Example
Multiply
Objective B

10. Example
Divide:
Objective B

11. Example
Divide:
Objective B

12. Add or Subtract Mixed Numbers.
Objective C
Add or Subtract Mixed Numbers.

13. Adding or Subtracting Mixed Numbers
To add or subtract mixed numbers, add or subtract the fraction parts and then add or subtract the whole number parts.

14. Example Add: The LCD of 6 and 12 is 12. Add the fractions.
Objective A
Add the fractions.
Then add the whole numbers.

15. Example
Add: The LCD of the denominators 7 and 5 is 35.

16. Example Subtract: The LCD of 5 and 25 is 25.
Because 5 is less than 6, we need to borrow 1 from 9.
Objective B
Subtract the fractions.
Then subtract the whole numbers.

17. Example
Subtract:
Borrow 1 from 25 and write it as 9/9.

18. Solve Problems Containing Mixed Numbers.
Objective D
Solve Problems Containing Mixed Numbers.

19. Example The traveler’s overweight charges will be based on
If the total weight allowable without overweight charges is 50 pounds and the traveler’s luggage weighs pounds, on how many pounds will the traveler’s overweight charges be based?
Objective C
Subtract the fractions.
Then subtract the whole numbers.
The traveler’s overweight charges will be based on

20. Example
A nacho recipe calls for cup cheddar cheese and cup jalapeño cheese. Find the total amount of cheese in the recipe.
Objective A

21. Perform Operations on Negative Mixed Numbers.
Objective E
Perform Operations on Negative Mixed Numbers.

22. Example
Write each as a mixed number. a. b.

23. Operating on Negative Mixed Numbers
Divide:
Objective C

24. Example
Add:
Here we are adding two numbers with different signs. Recall that we then subtract the absolute values and keep the sign of the larger absolute value.
In this case the answer will be negative.