1. Tuesday 9/2 Quick Review n

2. Review Video Improper and Mixed Fractions

3. Multiplying With Fractions I can multiply fractions.

4. Just Follow These Easy Steps! n Multiply the numerators n Multiply the denominators n Simplify

5. Example 1 5 8 x 3 4 = 15 32 There are no common factors for 15 and 32, so this fraction cannot be simplified.

6. Example 2 3 4 x 2 9 = 6 36 This fraction can be reduced. Divide the numerator and denominator by the GCF, which is 6. = 1 6

7. Multiplying by a Whole Number If you want to multiply a fraction by a whole number, turn your whole number into a fraction by placing a 1 as the denominator. 4 5 x 20 1 = 80 5 = 16

8. Another Example 15 x 1 61 = 6 15 and 6 have a GCF of 3. = 5 2 Five halves is improper, so we divide the bottom into the top. 25 2 4 1 2 1 2

9. Simplifying Factors n Before you multiply, you can make the problem simpler. n You can find the GCF of any numerator and denominator. n Find a factor that equally divides the top number and bottom number, divide, and rewrite the problem.

10. Example 1 5 7 x 8 16 In the second fraction, 8 and 16 have a GCF of 8. 8 ÷ 8 = 1 and 16 ÷ 8 = 2 1 2 Now, multiply with the simpler numbers. 5 x 1 = 5 and 7 x 2 = 14. 5 14

11. Example 2 2 3 x 5 12 The top of the first fraction and the bottom of the second fraction have a common factor. The GCF of 2 and 12 is 2. 2 ÷ 2 = 1, and 12 ÷ 2 = 6. 1 6 Now, multiply: 5 18

12. Homework Time! Textbook Page 107 1-10

13. Sponge Wednesday September 3 1) 3) List the steps on how you would multiply a fraction by a fraction.

14. Multiplying Mixed Numbers You can NEVER MULTIPLY OR DIVIDE mixed numbers!!!!! Steps: 1)Make each mixed number an improper fraction. 2)Multiply numerators 3)Multiply denominators 4)SIMPLIFY

15. Mixed Number Examples…. n

16. Examples on your own…. Page 115 1-9 (ODD’s ONLY)

17. Dividing a Whole Number by a Fraction What is 3 ÷ ¼ ? Use your prior knowledge and the illustration above to figure it out. Think, “If I start with 3, how many groups that look like ¼ will I have?”

18. So, 3 ÷ ¼ = 12. If you start with 3, you will have 12 groups of 1/4. 12 34 56 711 10 12 9 8 Dividing a Whole Number by a Fraction Can you see how you could manipulate the fractions to get an answer of 12?

19. Dividing a Whole Number by a Fraction So, 5 ÷ 1 / 3 = 15. If you start with 5, you will have 15 groups of 1/3. What is 5 ÷ 1 / 3 ? Can you see how you could manipulate the fractions to get an answer of 15?

20. Steps…. 1) Make the whole number a fraction by putting a 1 in the denominator 2) Keep the first fraction the same 3) Change the division sign to multiplication 4) Flip (take the reciprocal) of the second fraction 5) Now you use Multiplication Steps

21. Examples: n

22. Homework Page 139 2-12 (EVEN’s ONLY)

23. Sponge Thursday September 4

24. Homework Check

25. Vocabulary: Reciprocal n When you flip the second fraction, you are writing that fraction’s reciprocal. 3 5 5 3

26. To Divide Fractions by Fractions: n Rewrite the first fraction. n Change the division sign to a multiplication sign. n Flip the second fraction upside down. n Multiply.

27. Example 1 1 3 ÷ 1 2 Rewrite: 1 3 x 2 1 = 2 3

28. Example 2 4 5 ÷ 4 9 Rewrite: 4 5 x 9 4 1 1 = 9 5 = 1 4 5

29. Review Example 3 12 ÷ 3 5 1 Rewrite: 12 1 x 5 3 4 1 = 20 1 =

30. Review Example 4 1 6 ÷ 2 1 Rewrite: 1 6 x 1 2 = 1 12

31. Re-cap of today’s lesson Dividing Fractions Re-cap

32. Homework Page 153 18-21; 23-26

33. Friday Sponge September 5 Explain the steps you need to complete to divide fractions by fractions.

34. Divide Mixed Numbers Check Homework

35. Change any mixed numbers into improper fractions. Change any whole numbers into improper fractions by putting 1 under the whole number. KEEP – CHANGE - FLIP. Multiply numerators and denominators Simplify

36. Example 1 1 1 9 ÷ 6 2 3 ÷ 10 9 20 3 x 10 9 3 20 1 2 3 1 = 1 6

37. More Practice… Example 2: 6 ÷ 3 ½ Example 3: 1 ½ ÷ 3 ¾

38. On your own…. Textbook Page 159 (1-3)

39. Quiz –Take out a sheet of paper and write your name on it

40. Homework: Review videos on web blog from this week’s lessons