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Finding Equivalent Fractions

In this worksheet, students practise finding equivalent fractions.

'Finding Equivalent Fractions' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Equations and Algebra

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet you must find equivalent fractions.

Equivalent fractions are the same size.


Example

 

In the diagram, the shaded section represents
1
3
or
2
6

 

You find equivalent fractions by multiplying the numerator and the denominator by the same number.

 
1
3
=
1 × 2
3 × 2
=
2
6
=
1 × 3
3 × 3
=
3
9
=
1 × 10
3 × 10
=
10
30

 

 

You could also divide the numerator and the denominator by the same number.

This is what you do when you reduce a fraction.

 
6
24
=
6 ÷ 2
24 ÷ 2
=
3
12
=
6 ÷ 3
24 ÷ 3
=
2
8

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

2
10
=
A

B
=
C

D
 ABCD
4
6
20
30

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

1
7
=
A

B
=
C

D

 

 

 ABCD
2
3
14
21

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

2
10
=
A

B
=
C

D

 

 ABCD
30
6
4
20

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

10
35
=
A

B
=
C

D

 

 ABCD
14
7
4
2

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

25
45
=
A

B
=
C

D

 

 ABCD
10
9
5
18

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

20
40
=
A

B
=
C

D

 

 ABCD
200
1
400
2

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

10
40
=
A

B
=
C

D

 

 ABCD
4
8
1
2

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

1
10
=
A

B
=
C

D

 

 ABCD
30
20
3
2

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

12
40
=
A

B
=
C

D

 

 ABCD
10
20
3
6

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

5
30
=
A

B
=
C

D

 

 ABCD
2
12
1
6
  • Question 1

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

2
10
=
A

B
=
C

D
CORRECT ANSWER
 ABCD
4
6
20
30
EDDIE SAYS
The numerator here is five times the denominator
  • Question 2

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

1
7
=
A

B
=
C

D

 

 

CORRECT ANSWER
 ABCD
2
3
14
21
EDDIE SAYS
The numerator here is seven times the denominator
  • Question 3

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

2
10
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
30
6
4
20
EDDIE SAYS
The numerator here is five times the denominator
  • Question 4

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

10
35
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
14
7
4
2
EDDIE SAYS
The numerator here is three and a half times the denominator
  • Question 5

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

25
45
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
10
9
5
18
EDDIE SAYS
Simplifying the fraction first (divide by 5) will give 5/9 (A/B) We can then double this to give (C/D)
  • Question 6

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

20
40
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
200
1
400
2
EDDIE SAYS
The denominator is double the numerator
  • Question 7

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

10
40
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
4
8
1
2
EDDIE SAYS
The denominator is 4 times the numerator
  • Question 8

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

1
10
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
30
20
3
2
EDDIE SAYS
The numerator has to be ten times the denominator
  • Question 9

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

12
40
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
10
20
3
6
EDDIE SAYS
Simplifying the fraction first (divide by 4) will give 3/10 (A/B) We can then double this to give (C/D)
  • Question 10

Choose appropriate values for A, B, C and D which will make these fractions equivalent.

A is smaller than C.

 

5
30
=
A

B
=
C

D

 

CORRECT ANSWER
 ABCD
2
12
1
6
EDDIE SAYS
The denominator has to be six times the numerator
---- OR ----

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