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Everyday Math Grade 4 – Lesson 7.7 Equivalent Fractions

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Presentation on theme: "Everyday Math Grade 4 – Lesson 7.7 Equivalent Fractions"— Presentation transcript:

1 Everyday Math Grade 4 – Lesson 7.7 Equivalent Fractions
Copyright © 2012 Kelly Mott

2 Equivalent Fractions Introduction Equivalent Fractions with Fraction Arrays Equivalent Fractions using Multiplication Equivalent Fractions using Division Fractions in Simplest Form Copyright © 2012 Kelly Mott

3 Equivalent Fractions 1/2 1/3 1/4 1/6 1/8 Copyright © 2012 Kelly Mott

4 1 2 = 2 4 Equivalent Fractions 1 1 4 1 2 4
Equivalent fractions show the same amount but have different numerators and denominators. 1 2 1 1 = 4 1 2 4 2 4 Copyright © 2012 Kelly Mott

5 1 = 2 Equivalent Fractions 1 1 2
Equivalent fractions are sometimes called equal fractions. They both start with an e! 1 1 1 = 2 2 Copyright © 2012 Kelly Mott

6 Let’s Practice Naming Equivalent Fractions!
1/2 1/3 1/4 1/6 1/8 Copyright © 2012 Kelly Mott

7 Practice 1: Equivalent Fractions
= = 2 Copyright © 2012 Kelly Mott

8 Practice 2: Equivalent Fractions
1 = = 2 Copyright © 2012 Kelly Mott

9 Practice 3: Equivalent Fractions
1 = 2 Copyright © 2012 Kelly Mott

10 Practice 4: Equivalent Fractions
3 = 4 Copyright © 2012 Kelly Mott

11 Practice 5: Equivalent Fractions
2 = 3 Copyright © 2012 Kelly Mott

12 Let’s Practice Shading Equivalent Fractions!
1/2 1/3 1/4 1/6 1/8 Copyright © 2012 Kelly Mott

13 Practice 1: Shade Equivalent Fractions
2 3 = = 2 4 6 Copyright © 2012 Kelly Mott

14 Practice 2: Shade Equivalent Fractions
1 4 5 = = 2 8 10 Copyright © 2012 Kelly Mott

15 Practice 3: Shade Equivalent Fractions
1 4 = 2 8 Copyright © 2012 Kelly Mott

16 Practice 4: Shade Equivalent Fractions
3 6 = 4 8 Copyright © 2012 Kelly Mott

17 Practice 5: Shade Equivalent Fractions
2 4 = 3 6 Copyright © 2012 Kelly Mott

18

19 Equivalent Fractions with a Fraction Array
Copyright © 2012 Kelly Mott

20 Equivalent Fractions Copyright © 2012 Kelly Mott

21 Write 8 equivalent fractions for 1 whole:
___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

22 Write 4 equivalent fractions for 1/2 :
___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

23 Write 2 equivalent fractions for 1/3:
___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

24 Write 2 equivalent fractions for 4/6:
___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

25 Write 1 equivalent fraction for 1/4:
___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

26 Write 1 equivalent fraction for 3/4:
___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

27 Copyright © 2012 Kelly Mott

28 Equivalent Fractions using Multiplication
Copyright © 2012 Kelly Mott

29 = 1 2 Equivalent Fractions x x
You can multiply to get equal fractions. To get equal fractions, multiply the numerator and denominator by the same number. 1 x = 2 x Copyright © 2012 Kelly Mott

30 Lesson 5.3 Equivalent Fractions
k j 1 1 x x = = 3 4 x x Copyright © 2012 Kelly Mott

31 Equivalent Fractions using Multiplication Let’s Practice a few!
Copyright © 2012 Kelly Mott Copyright © 2012 Kelly Mott

32 Practice 1: Find Equivalent Fractions
x 3 2 1 x x = = 2 3 4 x x 2 4 1 x x = = 5 2 3 x x Copyright © 2012 Kelly Mott

33 Practice 2: Find Equivalent Fractions
x 2 2 1 x x = = 2 6 4 x x 1 4 4 x x = = 5 2 3 x x Copyright © 2012 Kelly Mott

34 Practice 3: Find Equivalent Fractions
x 3 3 1 x x = = 8 5 4 x x 2 5 2 x x = = 5 7 6 x x Copyright © 2012 Kelly Mott

35 Equivalent Fractions using Multiplication Part 2
Copyright © 2012 Kelly Mott

36 = 1 ? 3 6 Equivalent Fractions
Sometimes you’ll have problems like the one below. 1 ? = 3 6 Copyright © 2012 Kelly Mott

37 Equivalent Fractions k j 1 = 4 8 2 = 5 10 Copyright © 2012 Kelly Mott

38 Equivalent Fractions using Multiplication Let’s Practice a few!
Copyright © 2012 Kelly Mott

39 Practice 1: Find Equivalent Fractions
k j 2 = 12 4 2 = 3 6 Copyright © 2012 Kelly Mott

40 Practice 2: Find Equivalent Fractions
k j 3 = 8 4 1 = 3 12 Copyright © 2012 Kelly Mott

41 Practice 3: Find Equivalent Fractions
k j 2 = 12 6 2 = 3 9 Copyright © 2012 Kelly Mott

42 Practice 4: Find Equivalent Fractions
k j 1 = 15 5 2 = 16 4 Copyright © 2012 Kelly Mott

43 Practice 5: Find Equivalent Fractions
k j 3 = 25 5 4 = 6 12 Copyright © 2012 Kelly Mott

44 Practice 6: Find Equivalent Fractions
k j 1 = 18 2 2 = 3 9 Copyright © 2012 Kelly Mott

45

46 Equivalent Fractions using Division
Copyright © 2012 Kelly Mott

47 Reducing Fractions Copyright © 2012 Kelly Mott

48 8 ÷ = ÷ 12 8 ÷ = ÷ 12 Equivalent Fractions
You can divide to get equal fractions. To get equal fractions, divide the numerator and denominator by a common factor. 8 ÷ = ÷ 12 8 ÷ = ÷ 12 Copyright © 2012 Kelly Mott

49 Equivalent Fractions using Division Let’s Practice a few!
Copyright © 2012 Kelly Mott

50 Find 2 Equivalent Fractions for 4/12:
k j 4 ÷ = ÷ 12 4 ÷ = 12 ÷ Copyright © 2012 Kelly Mott

51 Find 3 Equivalent Fractions for 6/12:
k j 6 ÷ = ÷ 12 6 ÷ = 12 ÷ Copyright © 2012 Kelly Mott

52 Find 3 Equivalent Fractions for 6/12:
k j 6 ÷ = ÷ 12 Copyright © 2012 Kelly Mott

53 Find 3 Equivalent Fractions for 12/18:
k j 12 ÷ = ÷ 18 12 ÷ = 18 ÷ Copyright © 2012 Kelly Mott

54 Find 3 Equivalent Fractions for 12/18:
k j 12 ÷ = ÷ 18 Copyright © 2009 Kelly Mott

55 Copyright © 2012 Kelly Mott

56 Fractions in Simplest Form
Copyright © 2012 Kelly Mott

57 Fractions in Simplest Form
Copyright © 2012 Kelly Mott

58 Fractions in Simplest Form
A fraction in simplest form can not be divided any further. To get a number in simplest form, you have to divide by the greatest common factor. 8 ÷ = ÷ 12 Copyright © 2012 Kelly Mott

59 Fractions in Simplest Form Let’s Practice a few!
Copyright © 2012 Kelly Mott

60 PRACTICE 1: To get a number in simplest form, you have to divide by the greatest common factor.
k j 4 ÷ = ÷ 6 6 ÷ = 8 ÷ Copyright © 2012 Kelly Mott

61 PRACTICE 2: To get a number in simplest form, you have to divide by the greatest common factor.
k j 9 ÷ = 12 ÷ 6 ÷ = 10 ÷ Copyright © 2012 Kelly Mott

62 PRACTICE 3: To get a number in simplest form, you have to divide by the greatest common factor.
k j 7 ÷ = 14 ÷ 8 ÷ = 10 ÷ Copyright © 2012 Kelly Mott

63 PRACTICE 4: To get a number in simplest form, you have to divide by the greatest common factor.
k j 2 ÷ = ÷ 12 5 ÷ = 10 ÷ Copyright © 2012 Kelly Mott

64 PRACTICE 5: To get a number in simplest form, you have to divide by the greatest common factor.
k j 12 ÷ = ÷ 16 4 ÷ = 12 ÷ Copyright © 2012 Kelly Mott

65 PRACTICE 6: To get a number in simplest form, you have to divide by the greatest common factor.
k j 6 ÷ = ÷ 12 10 ÷ = 25 ÷ Copyright © 2012 Kelly Mott

66 PRACTICE 7: To get a number in simplest form, you have to divide by the greatest common factor.
k j 6 ÷ = ÷ 24 15 ÷ = 25 ÷ Copyright © 2012 Kelly Mott

67 PRACTICE 8: To get a number in simplest form, you have to divide by the greatest common factor.
k j 9 ÷ = ÷ 18 10 ÷ = 30 ÷ Copyright © 2012 Kelly Mott

68 Copyright © 2012 Kelly Mott


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