1. DO NOW 11/2/15 Find the GCF of 6 and 24. Find the LCM of 3 and 6. Find the prime factorization of 72. Evaluate: (3 x 2) 2 ÷ 4 – 3 HINT: Look back at your notes if you’ve forgotten how to do any of this!!!!

2. Mixed Numbers & Improper Fractions

3. Essential Question: How can I convert improper fractions to mixed numbers and mixed numbers into improper fractions? Mixed Numbers & Improper Fractions Common Core Obj./Student Friendly Terms: (6.NS.1) Students will be able to convert improper fractions to mixed numbers and mixed numbers to improper fractions with at least 80% accuracy.

4. 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. Mixed Numbers & Improper Fractions

5. To change an IMPROPER FRACTION to a MIXED NUMBER use LONG DIVISION Mixed Numbers & Improper Fractions

6. To change a MIXED NUMBER to an IMPROPER FRACTION use THE MAD CIRCLE Mixed Numbers & Improper Fractions

7. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions

8. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions Use LONG DIVISION to change each improper fraction to a mixed number.

9. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 21 4

10. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 21 4 4 5 20 1

11. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 21 4 4 5 20 1 5 1 4 The remainder becomes the numerator The denominator stays the same

12. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 20 3

13. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 20 3 3 6 18 2

14. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 20 3 3 6 18 2 6 2 3 The remainder becomes the numerator The denominator stays the same

15. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 32 8

16. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 32 8 8 4 0

17. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 32 8 8 4 0 4 0 8 The remainder becomes the numerator The denominator stays the same

18. Simplifying Improper Fractions Example 1: Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 a) 21/4 b) 20/3 c) 32/8 Mixed Numbers & Improper Fractions 32 8 8 4 0 4 0 8 The remainder becomes the numerator The denominator stays the same 4 When 0 as numerator get rid of fraction

19. Simplifying Improper Fractions Example 2: Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 Mixed Numbers & Improper Fractions

20. Mixed Numbers to Improper Fractions Example 2: Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 Mixed Numbers & Improper Fractions Use THE MAD CIRCLE to change each mixed number to an improper fraction.

21. Mixed Numbers to Improper Fractions Example 2: Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 Mixed Numbers & Improper Fractions 10 4 5 Denominator Multiplied by the Whole Number x + 5 x 10 + 4 5 == 54 5 Product is Added to the Numerator

22. Mixed Numbers to Improper Fractions Example 2: Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 Mixed Numbers & Improper Fractions 3 3 7 Denominator Multiplied by the Whole Number x + 7 x 3 + 3 7 == 24 7 Product is Added to the Numerator

23. Mixed Numbers to Improper Fractions Example 2: Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 a) 10 4 / 5 b) 3 3 / 7 c) 1 4 / 5 Mixed Numbers & Improper Fractions 1 4 5 Denominator Multiplied by the Whole Number x 5 x 1 + 4 5 == 9 5 Product is Added to the Numerator +

24. Guided Practice Write each improper fraction as a mixed number and simplify: a) 51/5 b) 44/8 c) 27/6 Mixed Numbers & Improper Fractions Write each mixed number as an improper fraction: a) 4 ¾ b) 16 1 / 2 c) 7 5 / 8

25. Guided Practice Write each improper fraction as a mixed number and simplify: a) 51/5 b) 44/8 c) 27/6 Mixed Numbers & Improper Fractions a) 10 1 / 5 b) 5 1 / 2 c) 4 1 / 2 Write each mixed number as an improper fraction: a) 19 / 4 b) 33 / 2 c) 61 / 8 a) 4 ¾ b) 16 ½ c) 7 5 / 8

26. Mixed Numbers & Improper Fractions Independent Practice Write each improper fraction as a mixed number and simplify: a) 48/3 b) 17/2 c) 27/8 Write each mixed number as an improper fraction: a) 6 ¼ b) 27 3 / 4 c) 9 1 / 3 Raise your hand when you have completed this on your handout!

27. ANY QUESTIONS??? If you feel comfortable, go to IXL.com and practice skill I.8. Once you get a score of 80% or higher you can play one of the games underneath Task 3 if time permits. Still have questions: Get Mrs. Allison/Mrs. Whitehead to assist you.