1. Adding & Subtracting Mixed Numbers

2. Essential Question: How do I add and subtract mixed numbers? Common Core Obj./Student Friendly Terms: (6.NS.1) Students will be able to add and subtract mixed numbers with at least 80% accuracy.

3. Vocabulary:  Mixed Number – a number containing a fraction and whole number.  Improper Fraction – a fraction with a numerator that is larger than the denominator.  Proper Fraction – a fraction with a numerator that is smaller than the denominator. Adding & Subtracting Mixed Numbers

4. Real World: Carlos spent 2 2 / 5 hours on his math homework and 1 3 / 5 hours on his language arts homework. How much time did he spend doing both his math and science homework? Adding & Subtracting Mixed Numbers 4 hours

5. Rules for Adding & Subtracting Mixed Numbers (1) Rewrite Problem Vertically; (2) Find LCD & Change Fractions (if needed); (3) Add/Subtract Fractions; (4) Add/Subtract Whole Numbers; (5) Simplify & Reduce. Adding & Subtracting Mixed Numbers

6. Example #1: Find 4 3 / 5 + 9 1 / 3 4 9 + 3 5 1 3 Adding & Subtracting Mixed Numbers

7. Example #1: Find 4 3 / 5 + 9 1 / 3 = = 4 9 + 3 x3 5 x3 1 x5 3 x5 Adding & Subtracting Mixed Numbers

8. Example #1: Find 4 3 / 5 + 9 1 / 3 = = + 4 4 99 + 3 x3 9 5 x3 15 1 x5 5 3 x5 15 Adding & Subtracting Mixed Numbers

9. Example #1: Find 4 3 / 5 + 9 1 / 3 = = + 4 4 9 13 9 + 3 x3 9 5 x3 15 1 x5 5 3 x5 15 14 15 Adding & Subtracting Mixed Numbers

10. 2 3 1 6 10 2 – Example #2: Find 10 2 / 3 – 2 1 / 6 Adding & Subtracting Mixed Numbers

11. 2 x2 3 x2 1 6 = = 10 2 – Example #2: Find 10 2 / 3 – 2 1 / 6 Adding & Subtracting Mixed Numbers

12. 2 x2 4 3 x2 6 1 1 6 6 = = 10 2 2 –– Example #2: Find 10 2 / 3 – 2 1 / 6 Adding & Subtracting Mixed Numbers

13. 2 x2 4 3 x2 6 1 1 6 6 3 6 = = 10 2 2 8 –– Example #2: Find 10 2 / 3 – 2 1 / 6 Adding & Subtracting Mixed Numbers

14. 2 x2 4 3 x2 6 1 1 6 6 31 6 2 = = 10 2 2 8 –– = 8 Example #2: Find 10 2 / 3 – 2 1 / 6 Adding & Subtracting Mixed Numbers

15. Example #3: Find 9 3 / 4 – 5 1 / 3 3 4 1 3 9 5 – Adding & Subtracting Mixed Numbers

16. Example #3: Find 9 3 / 4 – 5 1 / 3 3 x3 4 x3 1 x4 3 x4 = = 9 5 – Adding & Subtracting Mixed Numbers

17. Example #3: Find 9 3 / 4 – 5 1 / 3 3 x3 9 4 x3 12 1 x4 4 3 x4 12 = = 9 5 9 5 – – Adding & Subtracting Mixed Numbers

18. Example #3: Find 9 3 / 4 – 5 1 / 3 3 x3 9 4 x3 12 1 x4 4 3 x4 12 5 12 = = 9 5 9 5 – – Adding & Subtracting Mixed Numbers 4

19. Example #4: Find 15 3 / 7 + 7 5 / 6 3 7 5 6 15 7 + Adding & Subtracting Mixed Numbers

20. Example #4: Find 15 3 / 7 + 7 5 / 6 3 x6 7 x6 5 x7 6 x7 = = 15 7 + Adding & Subtracting Mixed Numbers

21. Example #4: Find 15 3 / 7 + 7 5 / 6 3 x6 18 7 x6 42 5 x7 35 6 x7 42 = = 15 7 7 ++ Adding & Subtracting Mixed Numbers

22. Example #4: Find 15 3 / 7 + 7 5 / 6 3 x6 18 7 x6 42 5 x7 35 6 x7 42 53 42 = = 15 7 7 22 ++ Adding & Subtracting Mixed Numbers

23. Example #4: Find 15 3 / 7 + 7 5 / 6 3 x6 18 7 x6 42 5 x7 35 6 x7 42 53 11 4242 = = 15 7 7 22 ++ = 23 Adding & Subtracting Mixed Numbers

24. Example #5: Find 8 – 6 1 / 3 1 3 – 8 6 Adding & Subtracting Mixed Numbers

25. Example #5: Find 8 – 6 1 / 3 3 1 1 3 3 – 8 6 6 7 – We can rename 8 as 7 and 3/3 Adding & Subtracting Mixed Numbers

26. Example #5: Find 8 – 6 1 / 3 3 1 1 3 3 2 3 – 8 1 6 6 7 – Adding & Subtracting Mixed Numbers

27. Example #5: Find 8 – 6 1 / 3 3 1 1 3 3 2 3 – 8 1 6 6 7 – Adding & Subtracting Mixed Numbers

28. Real World: Kevin’s baby brother weighed 7 1 / 2 pounds at birth. After one month, his brother weighed 8 4 / 5 pounds. How much weight did the baby gain? 1 3 / 10 lbs. Adding & Subtracting Mixed Numbers

29. Real World: Mr. Ivey plans to plant 4 7 / 8 acres of wheat and 1 2 / 3 acres of corn. How many acres of land does Mr. Ivey have altogether? 6 13 / 24 acres of land Adding & Subtracting Mixed Numbers

30. Rules for Adding & Subtracting Mixed Numbers (1) Rewrite Problem Vertically; (2) Add the Opposite (if Subtraction); (3) Find LCD & Change Fractions (if needed); (4) Add/Subtract Fractions; (5) Add/Subtract Whole Numbers; (6) Check Sign & Simplify or Rename as necessary. Adding & Subtracting Mixed Numbers

31. HOMEWORK p.248 #12-22, even, 35