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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