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Equivalent Fractions

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Identify the missing number that would make the fractions equivalent.


1.
1
2
=
4
?

• 6
• 7
• 8
• 9
Answer: 8
Multiply the numerator and the denominator by 4 to get the required equivalent fraction.
1
2
×
4
4
=
1 × 4
2 × 4
=
4
8


2.
3
2
=
6
?

• 4
• 6
• 8
• 12
Answer: 4
If we multiply the numerator and the denominator of the given fraction by 2 we get the required equivalent fraction.
3
2
×
2
2
=
3 × 2
2 × 2
=
6
4


3.
5
4
=
25
?


• 15
• 20
• 25
• 30
Answer: 20
If we multiply the numerator and the denominator of the given fraction by 5, we get the required equivalent fraction.
5
4
×
5
5
=
5 × 5
4 × 5
=
25
20



4.
6
9
=
36
?


• 51
• 54
• 60
• 66
Answer: 54
If we multiply the numerator and the denominator of the given fraction by 6, we get the required equivalent fraction.
6
9
×
6
6
=
6 × 6
9 × 6
=
36
54


5.
15
25
=
3
?


• 5
• 10
• 20
• 35
Answer: 5
If we divide the numerator and the denominator of the given fraction by 5, we get the required equivalent fraction.
15
25
÷
5
5
=
15 ÷ 5
25 ÷ 5
=
3
5


6.
12
?
=
48
20


• 3
• 5
• 6
• 10
Answer: 5
If we divide the numerator and the denominator of the given fraction by 4, we get the required equivalent fraction.
48
20
÷
4
4
=
48 ÷ 4
20 ÷ 4
=
12
5


7.
8
?
=
72
36


• 2
• 3
• 4
• 6
Answer: 4
If we divide the numerator and the denominator of the given fraction by 9, we get the required equivalent fraction.
72
36
÷
9
9
=
72 ÷ 9
36 ÷ 9
=
8
4


8.
12
?
=
120
140


• 10
• 14
• 26
• 39
Answer: 14
If we divide the numerator and the denominator of the given fraction by 10, we get the required equivalent fraction.
120
140
÷
10
10
=
120 ÷ 10
140 ÷ 10
=
12
14


9.
12
?
=
48
120


• 25
• 30
• 35
• 40
Answer: 30
If we divide the numerator and the denominator of the given fraction by 4, we get the required equivalent fraction.
48
120
÷
4
4
=
48 ÷ 4
120 ÷ 4
=
12
30


10.
24
?
=
48
120


• 3
• 4
• 5
• 8
Answer: 5
If we divide the numerator and the denominator of the given fraction by 2, we get the required equivalent fraction.
48
120
÷
2
2
=
48 ÷ 2
120 ÷ 2
=
24
60


11.
12
13
=
?
130


• 110
• 115
• 120
• 125
Answer: 120
If we multiply the numerator and the denominator of the given fraction by 10, we get the required equivalent fraction.
12
13
×
10
10
=
12 × 10
13 × 10
=
120
130


12.
55
11
=
?
1


• 5
• 10
• 15
• 20
Answer: 5
If we divide the numerator and the denominator of the given fraction by 11, we get the required equivalent fraction.
55
11
÷
11
11
=
55 ÷ 11
11 ÷ 11
=
5
1


13.
15
?
=
30
120


• 60
• 75
• 80
• 85
Answer: 60
If we divide the numerator and the denominator of the given fraction by 2, we get the required equivalent fraction.
30
120
÷
2
2
=
30 ÷ 2
120 ÷ 2
=
15
60


14.
55
?
=
5
10


• 105
• 110
• 115
• 120
Answer: 110
If we multiply both the numerator and the denominator of the given fraction by 11, we get the required equivalent fraction.
5
10
×
11
11
=
5 × 11
10 × 11
=
55
110


15.
15
?
=
5
10


• 20
• 25
• 28
• 30
Answer: 30
If we multiply the numerator and the denominator of the given fraction by 3, we get the required equivalent fraction.
5
10
×
3
3
=
5 × 3
10 × 3
=
15
30


16.
25
?
=
5
10


• 40
• 45
• 50
• 55
Answer: 50
If we multiply the numerator and the denominator of the given fraction by 5, we get the required equivalent fraction.
5
10
×
5
5
=
5 × 5
10 × 5
=
25
50


17.
7
?
=
35
10


• 2
• 5
• 8
• 9
Answer: 2
If we divide the numerator and the denominator of the given fraction by 5, we get the required equivalent fraction.
35
10
÷
5
5
=
35 ÷ 5
10 ÷ 5
=
7
2


18.
7
5
=
42
?

• 30
• 35
• 40
• 45
Answer: 30
If we multiply the numerator and denominator of the given fraction by 6, we get the required equivalent fraction.
7
5
×
6
6
=
7 × 6
5 × 6
=
42
30


19.
12
14
=
24
?

• 20
• 26
• 28
• 30
Answer: 28
If we multiply the numerator and the denominator of the given fraction by 2, we get the required equivalent fraction.
12
14
×
2
2
=
12 × 2
14 × 2
=
24
28

20.
18
24
=
6
?

• 8
• 9
• 10
• 12
Answer: 8
If we divide the numerator and the denominator of the given fraction by 3, we get the required equivalent fraction.
18
24
÷
3
3
=
18 ÷ 3
24 ÷ 3
=
6
8


21.
16
14
=
8
?

• 5
• 6
• 7
• 9
Answer: 7
If we divide the numerator and the denominator of the given fraction by 2, we get the required equivalent fraction.
16
14
÷
2
2
=
16 ÷ 2
14 ÷ 2
=
8
7


22.
28
16
=
?
4

• 5
• 6
• 7
• 8
Answer: 7
If we divide the numerator and the denominator of the given fraction by 4, we get the required equivalent fraction.
28
16
÷
4
4
=
28 ÷ 4
16 ÷ 4
=
7
4


23.
108
?
=
12
9


• 81
• 88
• 98
• 110
Answer: 81
If we multiply the numerator and the denominator of the given fraction by 9, we get the required equivalent fraction.
12
9
×
9
9
=
12 × 9
9 × 9
=
108
81


24.
105
?
=
15
9


• 60
• 63
• 64
• 65
Answer: 63
If we multiply the numerator and the denominator of the given fraction by 7, we get the required equivalent fraction.
15
9
×
7
7
=
15 × 7
9 × 7
=
105
63


25.
125
?
=
25
15


• 45
• 60
• 75
• 90
Answer: 75
If we multiply the numerator and the denominator of the given fraction by 5, we get the required equivalent fraction.
25
15
×
5
5
=
25 × 5
15 × 5
=
125
75


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Math Grade 6
Properties of Addition
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Algebraic Expressions - Formulation