1. MULTIPLYING
FRACTIONS

2. If I have one-half of a one-fourth piece, how much will I have compared to a whole square?

3. Multiply ½ times ¼ = x

4. Multiply ½ times ¼ = x

5. Multiply ½ times ¼ = x
1/8

6. If I have three-fifths of a three-fourths piece, how much will I have compared to a whole square?

7. Multiply 3/5 times 3/4 = x
3/5
3/4

8. Multiply 3/5 times 3/4 = x
3/5
3/4

9. Multiply 3/5 times 3/4 = x
3/5
3/4
= 9/20

10. If I have one-half of a two thirds piece, how much will I have compared to a whole square?

11. Multiply ½ times 2/3 = x
2/3

12. Multiply ½ times 2/3 = x
2/3

13. Multiply ½ times 2/3 = x
2/3
= 2/6
= 1/3

14. Multiplying Fractions Model
9 out of 20 boxes shaded

15. Area Model for Multiplication
2 out of 12 boxes shaded

16. You are going to get a new study guide titled MULTIPLY FRACTIONS MODEL
You can use this on your test!
Take a look at the 1st example!

17. If I have one-third of a one-half piece, how much will I have compared to a whole square?
Draw one-third (horizontal)
Draw one-half (vertical) 1 3 1 2
What is 1/3 of ½? Draw a picture.

18. If I have one-third of a one-half piece, how much will I have compared to a whole square?
Draw one-third (horizontal)
Draw one-half (vertical) 1 3 1 2
What is 1/3 of ½? Draw a picture.

19. If I have one-third of a one-half piece, how much will I have compared to a whole square?
Draw one-third (horizontal)
Draw one-half (vertical) 1 3 1 2
What is 1/3 of ½? Draw a picture.
NOW TRY EXAMPLE#2 We will do this together. Watch as I show you how to do it.

20. Try example # 2 on the front right side.

21. Follow the examples shown to solve each fraction problem
Follow the examples shown to solve each fraction problem. Draw a picture, label it, and circle your answer.

22. 1) Two-thirds times one-fourth?
Try the rest of your study guide.
I will ask for volunteers in about 5 minutes.

23. Study Guide ANSWERS

24. Multiplying Fractions

25. Multiplying Fractions
Write4 as an improper fraction. 12
2 3
1 2 – 4
Multiply numerators.
–2(9) 3(2)
Multiply denominators.
–18 6 =
Simplify. –3 =

26. Cross Canceling
Cross-Canceling
- Reducing before you multiply.

27. Cross Canceling

28. Take Out Your Study Guide!!!
That's all Folks!
Take Out Your Study Guide!!!
That’s all folks

29. One-Third of a Negative One-Half Piece
#14
Draw one-third (horizontal)
Draw negative one-half (vertical) 1 3 -1 2
What is of ? Draw a picture (overlay them).
+ • – = –

30. Multiply
#15
You do NOT need common denominators 
Multiply the numerators and denominators straight across. 7 4 28
Change the improper fraction to a mixed number = 2 3 6 4 4
Reduce! 6 6) 2 28 4 2 = 4 4 ÷ 24 3 6 2 ÷ 4

31. Extras

32. Multiplying Fractions

33. Multiplying Fractions

34. One-Third of a One-Half Piece
#Extra
One-Third of a One-Half Piece
Draw one-third (horizontal)
Draw one-half
(vertical) 1 3 1 2
What is of ? Draw a picture (overlay them).