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

Everyday MathGrade 4 – Lesson 7.7Equivalent Fractions

Copyright © 2012 Kelly Mott

Equivalent FractionsIntroductionEquivalent Fractions with Fraction ArraysEquivalent Fractions using MultiplicationEquivalent Fractions using DivisionFractions in Simplest Form


Equivalent Fractions


1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

Equivalent Fractions• Equivalent fractions show the same

amount but have different numerators and denominators.

12

=24

1

2

1414


Equivalent Fractions• Equivalent fractions are sometimes called equal fractions. They both start with an e!

12

=12

1


Let’s Practice Naming Equivalent Fractions!


1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

Practice 1: Equivalent Fractions

12 = =



12 = =



12 =



34

=



23

=



Let’s Practice Shading Equivalent Fractions!


1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

12

24

36= =

Practice 1: Shade Equivalent Fractions


12

48

510= =



12

48

=



34

68

=



23

46

=



Equivalent Fractions with a Fraction Array


Equivalent Fractions


Write 8 equivalent fractions for 1 whole:

___________________________________

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10


Write 4 equivalent fractions for 1/2 :

___________________________________

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10


Write 2 equivalent fractions for 1/3:

___________________________________

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10


Write 2 equivalent fractions for 4/6:

___________________________________

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10


Write 1 equivalent fraction for 1/4:

___________________________________

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10


Write 1 equivalent fraction for 3/4:

___________________________________

1/2 1/2

1/3 1/3 1/3

1/4 1/4 1/4 1/4

1/5 1/5 1/5 1/5 1/5

1/6 1/6 1/6 1/6 1/6 1/6

1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8

1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9 1/9

1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10



Equivalent Fractions using Multiplication


Equivalent Fractions• You can multiply to get equal fractions. • To get equal fractions, multiply the numerator

and denominator by the same number.

1

2=

x

x


Lesson 5.3 Equivalent Fractionsk • j

1

3=

x

x

1

4=

x

x


Equivalent Fractions using MultiplicationLet’s Practice a few!

Copyright © 2012 Kelly MottCopyright © 2012 Kelly Mott

Practice 1: Find Equivalent Fractions • x

3

4=x

x

2

3

x

x

x

x

x

x=

=

=

12

15

23

42



2

4=x

x

1

3

x

x

x

x

x

x=

=

=

12

45

26

42



3

4=x

x

2

6

x

x

x

x

x

x=

=

=

18

25

35

57


Equivalent Fractions using Multiplication

Part 2


Equivalent Fractions• Sometimes you’ll have problems like the one

below.

1

3=

6

?


Equivalent Fractionsk j

1

4=

25

=

8

10Copyright © 2012 Kelly Mott

Equivalent Fractions using MultiplicationLet’s Practice a few!


Practice 1: Find Equivalent Fractions k j

2

4=

23

=

12



3

4=

13

=

8



2

6=

23

=

12



1

5=

24

=

15



3

5=

46

=

25



1

2=

23

=

18


Equivalent Fractions using Division


Reducing Fractions


Equivalent Fractions• You can divide to get equal fractions. • To get equal fractions, divide the numerator and

denominator by a common factor.

812

=÷÷

812

÷÷

=


Equivalent Fractions using Division

Let’s Practice a few!


Find 2 Equivalent Fractions for 4/12:k j

4

12=

412

=

÷÷

÷÷



6

12=

612

=

÷÷

÷÷



6

12=÷

÷



12

18=

1218

=

÷÷

÷÷




1218

=÷÷


Fractions in Simplest Form




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.

812

÷÷

=



Let’s Practice a few!


PRACTICE 1: To get a number in simplest form, you have to divide by the greatest common factor.

k j

4

6=

6 8

=

÷÷

÷÷



k j

912

=

610

=

÷÷

÷÷



k j

714

=

810

=

÷÷

÷÷



k j

2

12=

510

=

÷÷

÷÷



k j

12

16=

4 12

=

÷÷

÷÷



k j

6

12=

1025

=

÷÷

÷÷



k j

6

24=

1525

=

÷÷

÷÷



k j

9

18=

1030

=

÷÷

÷÷



Documents

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