Equivalent Fractions

Packet

Made by Liesl

©homeschoolden.com

Feel free to make as many copies as you

need for your kids or the students in your

classroom.

This file may not be uploaded to any file

sharing website, though feel free to link

back to the original post over at

homeschoolden.com.

There is another version of

this file with heart clipart:

http://homeschoolden.com/2017/01/25/free-fraction-packet/

We use this packet in conjunction with some fraction manipulatives that we have on hand:

Working with the manipulatives really helps visualize what is going on. Our plastic sets were

made by Didax–Fraction Circle Manipulatives, but these by Learning Resources Deluxe

Rainbow Fraction Circles (affiliate link) are a bit cheaper. You might be interested in the ones

that come with the fraction printed on them: Teacher Created Resources Foam Fraction Circles.

(affiliate link).

They were worth purchasing since we have three kids, but you can also make them or print them

off the web (such as these Fraction Circle Templates at Worksheet Fun or these Fraction Circles

at DocStoc).

Equivalent Fractions

1 (circle) is the

same as 2

2

1 (circle) is the

same as 3

3

Any number x 1 equals that number (5x1=5).

The same goes for multiplying by a number over itself such as 2

2

. You could multiply any number by 2

2 or

3

3 and it would be

the same. Let's see why on the next few pages...

©homeschoolden.com

Equivalent Fractions

Divide the circle above in half. Write the fraction one-half

_____________ Color in half the circle.

Now divide each section into 3 equal portions.

The colored section now has _____________ pieces.

The entire circle (the two sections) now has ______ pieces.

1

2 x

3

3 =

3

6

©homeschoolden.com

Equivalent Fractions

Divide the circle above in four pieces. Write the fraction one-

fourth _____________ Color in one section of the circle.

Now divide each section into 2 equal portions.

The colored section now has _____________ pieces.

The entire circle (all four sections) now has ______ pieces.

1

4 x

2

2 =

2

8

©homeschoolden.com

Equivalent Fractions

Divide the circle above in three pieces. Write the fraction one-

third _____________ Color in one section of the circle.

Now divide each section into 4 equal portions.

The colored section now has _____________ pieces.

The entire circle (all three sections) now has ______ pieces.

1

3 x

4

4 =

4

12

©homeschoolden.com

You can use these two circles to help you visualize the answers on the next page.

©homeschoolden.com

Equivalent Fractions

1

2 =

4

1

2 =

6

1

2 =

8

1

2 =

10

1

2 =

12

1

3 =

6

1

3 =

9

1

3 =

12

1

3 =

15

1

3 =

18

©homeschoolden.com

Equivalent Fractions

1

4 =

8

1

4 =

12

1

4 =

16

1

4 =

20

1

4 =

24

1

5 =

10

1

5 =

15

1

5 =

20

1

5 =

25

1

5 =

30

©homeschoolden.com

Equivalent Fractions

1

6 =

12

1

6 =

18

1

6 =

24

1

6 =

30

1

6 =

36

1

7 =

14

1

7 =

21

1

7 =

28

1

7 =

35

1

7 =

42

©homeschoolden.com

Equivalent Fractions

1

8 =

16

1

8 =

24

1

8 =

32

1

8 =

40

1

8 =

48

1

9 =

18

1

9 =

27

1

9 =

36

1

9 =

45

1

9 =

54

©homeschoolden.com

Equivalent Fractions

1

9 =

36

1

6 =

18

1

2 =

12

1

7 =

42

1

3 =

18

1

7 =

28

1

9 =

27

1

5 =

15

1

7 =

21

1

4 =

24

©homeschoolden.com

Equivalent Fractions

1

9 =

54

1

8 =

48

1

4 =

12

1

6 =

12

1

2 =

6

1

7 =

21

1

2 =

10

1

8 =

16

1

6 =

36

1

3 =

15

©homeschoolden.com

Equivalent Fractions

1

8 =

40

1

6 =

30

1

2 =

8

1

3 =

12

1

4 =

16

1

8 =

24

1

8 =

32

1

9 =

45

1

6 =

48

1

3 =

9

©homeschoolden.com

Equivalent Fractions

1

7 =

14

1

9 =

18

1

4 =

20

1

7 =

35

1

6 =

24

2

3 =

9

3

7 =

14

3

4 =

16

5

6 =

12

1

5 =

15

©homeschoolden.com