1. Making
Equivalent Fractions

2. 1 2 = 2 4 Equivalent Fractions
Name the same amount but have different numerators and denominators. 1 2 1 1 = 4 2 4 2 1 4

3. 1 2 = 2 4 Equivalent Fractions
Are sometimes called equal fractions: two or more fractions that name the same number. 1 2 1 1 = 4 2 4 2 1 4

4. Equivalent Fraction Models1 2 3 = = 2 4 6

5. Equivalent Fraction Models1 4 = 5 = 2 8 10

6. Equivalent Fraction Models1 4 = 2 8

7. Equivalent Fraction Models3 6 = 4 8

8. Equivalent Fraction Models2 4 = 3 6

9. What are the missing numbers?1 2 3 = = 2 4 6

10. What are the missing numbers?1 4 = 5 = 2 8 10

11. What are the missing numbers?1 4 = 2 8

12. What are the missing numbers?3 6 = 4 8

13. What are the missing numbers?2 4 = 3 6

14. To Find Equivalent Fractions
Multiply the numerator and the denominator by the same number. 1 3 3 x = 3 3 9

15. To Find Equivalent Fractions
Divide the numerator and the denominator by the same number. 4 4 1 ÷ = 12 4 3

16. To Make Equivalent Fractions
Multiply the numerator and denominator by the same number.
You will get a new fraction with the same value as the original fraction.
We are not changing the value of the fraction, because we are simply multiplying by a fraction that is equivalent to ONE.

17. What do you get when you multiply a number by 1?
You get that number!
5 x 1 = 5
7 x 1 = 7
37 x 1 = 37
23 x 1 = 23
17 x 1 = 17

18. All these fractions = 1 7 2 33 4 5 When the numerator &
denominator of a
fraction are the same,
the fraction
equals 1. 33 4 5

19. AN EQUIVALENT FRACTION adding & subtracting fractions
What do you get when you multiply a fraction by 1?
You get
AN EQUIVALENT FRACTION
that makes
adding & subtracting fractions
possible.

20. These fractions represent the same amount.x =
This fraction equals 1. =
These fractions represent the same amount.

21. These fractions represent the same amount.x =
This fraction equals 1. =
These fractions represent the same amount.

22. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 3 =
We multiplied the numerator
and denominator by ...
x 3 3

23. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 4 =
We multiplied the numerator
and denominator by ...
x 4 4

24. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 9 =
We multiplied the numerator
and denominator by ...
x 9 9

25. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator? ?
x 3 =
We multiplied the numerator
and denominator by ...
x 3 3

26. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 9 =
We multiplied the numerator
and denominator by ...
x 9 9

27. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 3 =
We multiplied the numerator
and denominator by ...
x 3 3

28. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 7 =
We multiplied the numerator
and denominator by ...
x 7 7

29. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 5 =
We multiplied the numerator
and denominator by ...
x 5 5

30. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 4 =
We multiplied the numerator
and denominator by ...
x 4 4

31. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 5
We multiplied the numerator
and denominator by ... =
x 5 5

32. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 6 =
We multiplied the numerator
and denominator by ...
x 6 6

33. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 9 =
We multiplied the numerator
and denominator by ...
x 9 9

34. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 6 =
We multiplied the numerator
and denominator by ...
x 6 6

35. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 4 =
We multiplied the numerator
and denominator by ...
x 4 4

36. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 8 =
We multiplied the numerator
and denominator by ...
x 8 8

37. Make An Equivalent Fraction Find the Missing Numerator!
Given the new
denominator, can you
find the missing
numerator?
x 6 =
We multiplied the numerator
and denominator by ...
x 6 6

38. Make Equivalent Fractions Find the Missing Numerators!
Try these on your own.
Make Equivalent Fractions Find the Missing Numerators! 44 12 A C = = 55 42 45 28 = D B = 54 63

39. Another way of looking at them.
Equivalent fractions
Another way of looking at them.
1 whole
1/2
1/4
1/8

40. They are equivalent fractions
1 whole
1/8
1/8
1/8
1/8
1/8
1/8
1/8
1/8
We can see that
1/1 = 2/2 = 4/4 = 8/8
They are equivalent fractions

41. We can see that 2/8 is the same length as 1/4 So 2/8 = 1/4
1 whole
1/2
1/4
1/8
We can see that 2/8 is the same length as 1/4
So 2/8 = 1/4
They are equivalent fractions

42. 1/2 = 2/4 = 4/8 ½ ¼ ¼ 1 whole Which fractions are equivalent to ½? 1/8

43. Which of these fractions is equivalent to 1/4 ?
1 whole
1/2
1/4
1/8
Which of these fractions is equivalent to 1/4 ?
2/8
1/8
1/2

44. Whoops
try again!

45. Well done!
That's right

46. 1 whole
1/2
1/4
1/8
Which of these fractions is equivalent to 4/8 ?
1/8
2/4
1/4

47. Whoops
try again!

48. Well done!
That's right

49. 1 whole
1/3
1/6
1/12 = 
1/3
2/6
4/12
Look at the equivalent fractions – each time the numerators double, the denominators also double. Which other fraction will be equivalent?
8/24
6/24
4/24

50. Whoops
try again!

51. Think of a pizza cut into six pieces
How many sixths are equivalent to ½?

52. Fractions One half – one part of two- Two quaters – two parts of four
Four eighths – four parts of eight-
Two quaters – two parts of four-
One Half– One part of two-

53. What is the connection between the numerator and denomiator ?
Fractions
Therefore
What is the connection between the numerator and denomiator ?

54. 1 5 22 2 10 44  2  2  2 Fractions or Numerator X 2 X 2 X 2
Denominator
The Denominator is double the Numerator or
The Numerator is half the Denominator

55. Each one of these fractions is equal tod e ff b ch dd f g

56. Write the fractions that are equal to= =

57. Fractions 1 3 5
Numerator
X 3
 3
X 3
 3
X 3
 3 3 9 15
Denominator

58. Each one of these fractions is equal tob c ch d dd e f ff g ng h i l ll

59. Write the fractions that are equal to= =

60. Fractions
X 2
X 4 2 4 16 5 10 40
X 2
X 4
To make equivalent fractions we must multiply both numbers by the same number

61. Each one of these fractions is equal tob c ch d dd e f ff g ng h i l ll

62. Fractions
 2
 3 2 4 12 5 10 30
 2
 3
To simplify fractions we must divide both numbers by the same number

63. Simplify each one of these fractions