Percents and Equivalent Fractions

Name:
®
Date:
Making Equivalent Fractions
P-PEF 1
Instructions: An equivalent fraction can be made by multiplying the top and bottom numbers of a
fraction by the same number. The problems below show this being done, but the number that is being
multiplied by is missing. Write the missing number in the boxes. (Hint: you can use a multiplication
table to help you.)
1
3
5
4 ×
10 ×
3
8
2
2
= 8
20
= 24
64
×
×
10 ×
25 ×
=
40
100
2
4
6
2
5
×
= 6
15
7 ×
10 ×
= 35
50
9 ×
25 ×
=
×
54
150
Instructions: The process of making an equivalent fraction works the same for division. For these
problems, find the missing number that the top and bottom numbers are being divided by.
1
3
5
4 ÷
20 ÷
4
4
= 1
5
9 ÷
33 ÷
= 3
11
35 ÷
100 ÷
= 7
20
Percents & Equivalent Fractions • mathantics.com
2
4
6
25 ÷
40 ÷
= 5
8
21 ÷
70 ÷
= 3
10
81 ÷
900 ÷
= 9
100
© 2013 Math Plus Motion, LLC
Name:
®
Date:
Equivalent Percent Form
P-PEF 2
Instructions: Convert each of these fractions into an equivalent fraction that has 100 as the
bottom number. Then write that fraction in its percent form. (Some will need to be converted
by multiplying and others by dividing.)
1
3
5
7
9
11
3
20
15
×5
=
= 15%
×5
100
2
12
50
4
8
25
6
16
400
3
5
45
500
8
10
12
Percents & Equivalent Fractions • mathantics.com
1
20
80
200
8
10
24
300
3
2
30
25
© 2013 Math Plus Motion, LLC
Name:
®
Date:
Equivalent Percent Form - Set 2
P-PEF 3
Instructions: Convert each of these fractions into an equivalent fraction that has 100 as the
bottom number. Then write that fraction in its percent form. (Some will need to be converted
by multiplying and others by dividing.)
1
3
5
7
9
11
50 ÷ 2
200 ÷ 2
=
25
100
2
= 25%
10
500
4
11
25
6
49
700
15
50
7
20
8
10
12
Percents & Equivalent Fractions • mathantics.com
7
10
32
400
400
800
7
5
3
2
60
600
© 2013 Math Plus Motion, LLC
Name:
®
Date:
Equivalent Fractions: Unknown Top Number
P-PEF 4
Instructions: In each pair of equivalent fractions below, a top number is unknown. Figure out
what the relationship between the bottom numbers is. (In other words, figure out what was
multiplied or divided by to get the new bottom number) Then do that same thing to the top
number to find the unknown value (n).
Example
so to find ‘n’, we also
multiply by 6.
×6
2
n
=
5
30
n=2×6
×6
n = 12
to go from 5 to 30, we
have to multiply by 6
1
3
5
7
9
4 = n
10
20
30 = n
50
5
9 = n
20
60
12 = n
25 100
21 = n
150 50
2
4
6
8
10
Percents & Equivalent Fractions • mathantics.com
4 = n
6
24
1 = n
3
21
24 = n
64
8
3 = n
11
66
12 = n
8
40
© 2013 Math Plus Motion, LLC