1. Multiplying Fractions

2. Multiplying Fractions8 9 3 4 24 36 2 3 12 x = = ÷ 12

3. Multiplying Fractions1 2 5 9 5 18 x =

4. Multiplying Fractions2 3 15 28 30 84 5 14 6 x = = ÷ 6

5. Multiplying Fractions – Simplifying with cross - canceling8 9 3 4
8 4
9 3
3 3
4 4 ÷ ÷ x = x ÷ ÷ ÷
GCF = 3
GCF = 4 2 3 2 3 1 = x =

6. Multiplying Fractions – Simplifying with cross - canceling1 2 5 9
1 1
2 1
5 1
9 1 ÷ ÷ x = x ÷ ÷ ÷
GCF = 1
GCF = 1 5 18 1 2 5 9 = x =

7. Multiplying Fractions – Simplifying with cross - canceling2 3 15 28
2 2
3 3
15 3
28 2 ÷ ÷ x = x ÷ ÷ ÷
GCF = 3
GCF = 2 5 14 1 5 14 = x =

8. BONUS ROUND

9. To divide fractions
1. Take reciprocal of number you are dividing by (divisor)
Multiply dividend and reciprocal of divisor (straight across)
3. Simplify answer (if necessary)

12. REVIEW

13. &
dding
ubtracting
ractions

14. We need a common
denominator to add
these fractions. +

15. +
We need a common
denominator to add
these fractions.
Count by 2's
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Count by 7's
7, 14, 21, 28, 35…

16. Count by 2's
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Count by 7's
7, 14, 21, 28, 35…
The first number IN COMMON
that appears on both lists
becomes the common denominator

17. 7 6 13 = = + 7 + 6 = 13 x 7 X 7 x 2 x 2 Make equivalent fractions.
Add the numerators = +
7 + 6 = 13
x 2 13

18. +
We need a common
denominator to add
these fractions.
Count by 7's
7, 14, 21, 28, 35, 42, 49, 56, 63
Count by 5's
5, 10, 15, 20, 25, 30, 35, 40, 45

19. 15 7 22 = + = 15 + 7 = 22 x 5 X 5 x 7 x 7 Make equivalent fractions.
Add the numerators =
x 7
= 22 22

20. We need a common
denominator to add
these fractions. +
Count by 7's
7, 14, 21, 28, 35, 42, 49, 56, 63
Count by 8's
8, 16, 24, 32, 40, 48, 56, 64, 72

21. 32 21 53 32 + 21 = 53 = + = x 8 x 8 x 7 x 7 Make equivalent fractions.
Add the numerators
x 7 +
= 53 =
x 7 53

22. +
We need a common
denominator to add
these fractions.
Count by 3's
3, 6, 9, 12, 15, 18, 21, 24, 27
Count by 5's
5, 10, 15, 20, 25, 30, 35, 40, 45

23. x 3 9
Add the numerators =
X 3
= 19
x 5 10 + =
x 5 19

24. +
We need a common
denominator to add
these fractions.
Count by 3's
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33
Count by 11's
11, 22, 33, 44, 55, 66, 77…

25. 15 22 37 = + = 15 + 22 = 37 x 3 X 3 x 11 x 11 Make equivalent
fractions. =
X 3
x 11
Add the numerators 22 + =
= 37
x 11 37

26. +
We need a common
denominator to add
these fractions.
Count by 3's
3, 6, 9, 12, 15, 18, 21, 24, 27
Count by 6's
6, 12, 18, 24,…

27. 4 1 5 4 + 1 = 5 = + = x 2 X 2 x 1 x 1 Make equivalent fractions.
Add the numerators =
x 1
4 + 1 = 5 5

28. +
We need a common
denominator to add
these fractions.
Count by 11's
11, 22, 33, 44, 55, 66, 77…
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

29. 18 11 29 = + = 18 + 11 = 29 x 6 X 6 x 11 x 11 Make equivalent
fractions. =
X 6
x 11 11 +
Add the numerators. =
= 29
x 11 29

30. We need a common
denominator to add
these fractions. +

31. +
We need a common
denominator to add
these fractions.
Count by 5's
5, 10, 15, 20, 25, 30, 35, 40, 45
Count by 9's
9, 18, 27, 36, 45, 54, 63, 72, 81

32. Count by 5's
5, 10, 15, 20, 25, 30, 35, 40, 45
Count by 9's
9, 18, 27, 36, 45, 54, 63, 72, 81
The first number IN COMMON
that appears on both lists
becomes the common denominator

33. x 9 36
Make equivalent
fractions.
Make equivalent
fractions. = x9
x 5 35
Add the numerators.
Add the numerators. + =
= 71
= 71
x 5 71

34. +
We need a common
denominator to add
these fractions.
Count by 12's
12, 24, 36, 48, 60, 72, 84, 96
Count by 8's
8, 16, 24, 32, 40, 48, 56, 64, 72, 79, 80, 88, 96

35. 10 9 19 10 + 9 = 19 = + = x 2 x 2 x 3 x 3 Make equivalent fractions.
Add the numerators. + =
= 19
x 3 19

36. -
We need a common
denominator to
subtract a fraction
from another.
Count by 5's
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Count by 11's
11, 22, 33, 44, 55, 66, 77…

37. 15 11 4 15 - 11 = 4 = = - x 5 x 5 x 11 x 11 Make equivalent fractions.
Subtract. =
= 4 -
x 11 4

38. -
We need a common
denominator to
subtract one fraction
from another.
Count by 2's
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 …
Count by 10's
10, 20, 30…

39. 5 3 2 5 – 3 = 2 = - = x 5 x 5 x 1 x 1 Make equivalent fractions.
Subtract. - =
5 – 3 = 2
x 1 2

40. Try These A D E B F C

41. Try These(Answers) 10 9 17 27 A D 41 28 13 12 B E 19 20 26 21 C F