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3. 1. multiply rational numbers
2. divide rational numbers

5. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
– Change whole numbers to rational numbers;
– Change mixed fractions to improper fractions
2. Multiply. If possible use cancellations.
– Multiply with ;
– Multiply with
3. Simplify. Reduce answers to if possible.

6. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 1:
1
3
∙
2
3
=
2
9
1(2)
3(3)
Rational numbers
should be in the
form
𝑎
𝑏
∙
𝑐
𝑑
.
Multiply.
If possible use
cancellations.
Simplify.
Reduce answers to
if
possible.

7. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 1:
1
3
∙
2
3
=
2
9
1(2)
3(3)
Rational numbers
should be in the
form
𝑎
𝑏
∙
𝑐
𝑑
.
Multiply.
If possible use
cancellations.
Simplify.
Reduce answers to
if
possible.

8. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 2:
4
5
∙
11
7
=
44
35
4(11)
5(7)
Rational numbers
should be in the
form
𝑎
𝑏
∙
𝑐
𝑑
.
Multiply.
If possible use
cancellations.
Simplify.
Reduce answers to
if
possible.

9. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 2:
4
5
∙
11
7
=
44
35
= 1
9
35
Since the end
result is an
.
For a best answer.
Change to
.

10. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
Rational numbers
should be in the
form
𝑎
𝑏
∙
𝑐
𝑑
.

11. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
Rational numbers
should be in the
form
𝑎
𝑏
∙
𝑐
𝑑
.
5 −
6
5
=
5
1
−
6
5
Multiply.
If possible use
cancellations.

12. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
Multiply.
If possible use
cancellations.
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1

13. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
Multiply.
If possible use
cancellations.
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
1(6)

14. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
Multiply.
If possible use
cancellations.
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
1(1)

15. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
Simplify.
Reduce answers to
if
possible.
= −6

16. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
= −6
What if we did
not use
cancellations?

17. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
= −6
5 −
6
5
=
5
1
−
6
5
Rational numbers
should be in the
form
𝑎
𝑏
∙
𝑐
𝑑
.

18. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
= −6
5 −
6
5
=
5
1
−
6
5
Multiply.
If possible use
cancellations.
5(6)
= −
30
5

19. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
= −6
5 −
6
5
=
5
1
−
6
5
Multiply.
If possible use
cancellations.
1(5)
= −
30
5

20. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
= −6
5 −
6
5
=
5
1
−
6
5
= −
30
5
Simplify.
Reduce answers to
if
possible.
= −6

21. 1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 3:
5 −
6
5
=
5
1
−
6
5
=
1
1
−
6
1
1
1
= −
6
1
= −6
5 −
6
5
=
5
1
−
6
5
= −
30
5
= −6

22. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Rational numbers should
be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
-change whole numbers to
rational numbers;
-change mixed fractions to
improper fractions

23. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Rational numbers should
be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
-change whole numbers to
rational numbers;
-change mixed fractions to
improper fractions

24. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Rational numbers should
be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
-change whole numbers to
rational numbers;
-change mixed fractions to
improper fractions
Changing mixed fraction to
improper fraction.
Multiply the denominator
and whole number
1
2
3
=
5
3
3
3 1

25. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Rational numbers should
be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
-change whole numbers to
rational numbers;
-change mixed fractions to
improper fractions
Changing mixed fraction to
improper fraction.
Add up the product to the
numerator. The result will be the
new numerator.
1
2
3
=
5
3
3
3 + 2

26. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Rational numbers should
be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
-change whole numbers to
rational numbers;
-change mixed fractions to
improper fractions
Changing mixed fraction to
improper fraction.
Copy the denominator
1
2
3
=
5
3

27. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Rational numbers should
be in the form
𝑎
𝑏
∙
𝑐
𝑑
.
-change whole numbers to
rational numbers;
-change mixed fractions to
improper fractions
Changing mixed fraction to
improper fraction.
Copy the denominator
1
2
3
=
5
3

28. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Multiply.
If possible use
cancellations.

29. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Multiply.
If possible use
cancellations.
4
1

30. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Multiply.
If possible use
cancellations.
4
1
=
4
1
5
1

31. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Multiply.
If possible use
cancellations.
4
1
=
4
1
5
1
= 20
4(5)

32. =
12
1
5
3
1. Rational numbers should be in the form
𝑎
𝑏
∙
𝑐
𝑑
. 2. Multiply. If possible use cancellations.
- Change whole numbers to rational numbers; - Multiply with ;
- Change mixed fractions to improper fractions - Multiply with
3. Simplify. Reduce answers to if possible.
Example 4:
12 1
2
3
Multiply.
If possible use
cancellations.
4
1
=
4
1
5
1
= 20
4(5)

33. Got
questions?

35. 1. 9 −
7
9
2. −
7
2
−
1
5
3.
13
6
18
91
4. 1
2
5
−
2
3
5. 6
3
14
7
12

36. ANSWERS!

37. 1. 9 −
7
9
2. −
7
2
−
1
5
3.
13
6
18
91
4. 1
2
5
−
2
3
5. 6
3
14
7
12
= − 7
=
7
10
=
3
7
= −
14
15
=
3
4

38. Got
questions?

40. Then proceed just like your
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
When dividing rational numbers, multiply the by the
.

41. by which a given number must be
to get a result of .

42. by which a given number must be
to get a result of .
3
4
∙
4
3
= 1?

43. by which a given number must be
to get a result of .
1
2
∙ 2 = 1?

44. by which a given number must be
to get a result of .
7
5
∙
5
7
= 1?

45. by which a given number must be
to get a result of .
11
2
∙
2
11
= 1?

46. by which a given number must be
to get a result of .
6 ∙
1
6
= 1?

47. by which a given number must be
to get a result of .
23 ∙
1
23
= 1?

48. Got
questions?

50. 1. 2 ÷ −
7
9
2. −
17
2
÷ −
21
35
3.
26
36
÷ 1
2
3
4. 4
2
5
÷ −
2
3
5.
3
14
÷ 12
Reciprocal of the divisor:
Reciprocal of the divisor:
Reciprocal of the divisor:
Reciprocal of the divisor:
Reciprocal of the divisor:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1

51. ANSWERS!

52. 1. 2 ÷ −
7
9
2. −
17
2
÷ −
21
35
3.
26
36
÷ 3
2
5
4. 4
2
5
÷ −
2
3
5.
3
14
÷ 12
Reciprocal of the divisor:
Reciprocal of the divisor:
Reciprocal of the divisor:
Reciprocal of the divisor:
Reciprocal of the divisor:
−
9
7
−
35
21
5
17
−
3
2
1
12
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1

53. Got
questions?

54. Then proceed just like your
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
When dividing rational numbers, multiply the by the
.

55. 𝑐ℎ𝑎𝑛𝑔𝑒 𝑡𝑜 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑐𝑎𝑡𝑖𝑜𝑛
When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 1:
1
5
÷
2
3
Change to
.
Get the
=
1
5
∙
3
2
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
𝐺𝑒𝑡 𝑡ℎ𝑒 𝑟𝑒𝑐𝑖𝑝𝑟𝑜𝑐𝑎𝑙 𝑜𝑓 𝑡ℎ𝑒 𝑑𝑖𝑣𝑖𝑠𝑜𝑟.
𝑑𝑖𝑣𝑖𝑠𝑜𝑟𝑑𝑖𝑣𝑖𝑑𝑒𝑛𝑑

56. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 1:
1
5
÷
2
3
Multiply.
If possible use
cancellations.
=
1
5
∙
3
2
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
3
10
1(3)
5(3)

57. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 1:
1
5
÷
2
3
=
1
5
∙
3
2
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
Simplify.
Reduce answers to
if
possible.
=
3
10

58. 𝑐ℎ𝑎𝑛𝑔𝑒 𝑡𝑜 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑐𝑎𝑡𝑖𝑜𝑛
When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
Change to
.
Get the
=
3
1
−
7
3
𝑑𝑖𝑣𝑖𝑠𝑜𝑟𝑑𝑖𝑣𝑖𝑑𝑒𝑛𝑑
𝐺𝑒𝑡 𝑡ℎ𝑒 𝑟𝑒𝑐𝑖𝑝𝑟𝑜𝑐𝑎𝑙 𝑜𝑓 𝑡ℎ𝑒 𝑑𝑖𝑣𝑖𝑠𝑜𝑟.

59. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
Multiply.
If possible use
cancellations.

60. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
Multiply.
If possible use
cancellations.
1
1
=
1
1
−
7
1

61. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
Multiply.
If possible use
cancellations.
1
1
=
1
1
−
7
1
= −
7
1
1(7)

62. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
Multiply.
If possible use
cancellations.
1
1
=
1
1
−
7
1
= −
7
1
1(1)

63. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
Multiply.
If possible use
cancellations.
1
1
=
1
1
−
7
1
= −
7
1

64. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
1
1
=
1
1
−
7
1
= −
7
1
Simplify.
Reduce answers to
if
possible.
= −7

65. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 2:
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
3 ÷ −
3
7
=
3
1
−
7
3
1
1
=
1
1
−
7
1
= −
7
1
Simplify.
Reduce answers to
if
possible.
= −7

66. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Since we have
, changed
first to
.

67. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Since we have
, changed
first to
.

68. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Since we have
, changed
first to
.

69. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Change to
.
Get the
=
35
16
∙
4
5

70. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Change to
.
Get the
=
35
16
∙
4
5
𝑐ℎ𝑎𝑛𝑔𝑒 𝑡𝑜 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑐𝑎𝑡𝑖𝑜𝑛

71. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Change to
.
Get the
=
35
16
∙
4
5
𝐺𝑒𝑡 𝑡ℎ𝑒 𝑟𝑒𝑐𝑖𝑝𝑟𝑜𝑐𝑎𝑙 𝑜𝑓 𝑡ℎ𝑒 𝑑𝑖𝑣𝑖𝑠𝑜𝑟.

72. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Multiply.
If possible use
cancellations.
=
35
16
∙
4
5

73. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Multiply.
If possible use
cancellations.
=
35
16
∙
4
5
7
1

74. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Multiply.
If possible use
cancellations.
=
35
16
∙
4
5
7
1

75. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Multiply.
If possible use
cancellations.
=
35
16
∙
4
5
7
14
1

76. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Multiply.
If possible use
cancellations.
=
35
16
∙
4
5
7
14
1
=
7
4
7(1)

77. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
Multiply.
If possible use
cancellations.
=
35
16
∙
4
5
7
14
1
=
7
4
4(1)

78. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
=
35
16
∙
4
5
7
14
1
=
7
4
Simplify.
Reduce answers to
if
possible.
= 1
3
4
Since we got an
,
change it to
for a
.

79. When , multiply the by the
.
𝑎
𝑏
÷
𝑐
𝑑
𝑎
𝑏
∙
𝑑
𝑐
Then proceed just like your .
Example 3:
2
3
16
÷ 1
1
4
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
=
35
16
÷
5
4
=
35
16
∙
4
5
7
14
1
=
7
4
= 1
3
4

80. Got
questions?

82. 1. 3 ÷
1
2
2.
2
9
÷
4
3
3.
4
5
÷
2
9
4.
2
3
÷ 4
1
2
5. 1
3
5
÷ 2
4
7
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1

83. ANSWE
RS!

84. 1. 3 ÷
1
2
2.
2
9
÷
4
3
3.
4
5
÷
2
9
4.
2
3
÷ 4
1
2
5. 1
3
5
÷ 2
4
7
= 6
=
1
6
=
4
27
=
28
45
by which a given
number must be to get
a result of .
11
2
∙
2
11
= 1
= 3
3
5

85. Got
questions?