 # Equivalent Fraction Patterns

In this worksheet, students work with patterns when finding equivalent fractions. Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Fractions

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, we will learn how to find equivalent fractions. There are 20 small pieces in this bar of chocolate.

There are 5 strips.

The big chunk is 4 strips out of 5.

It is also 16 small pieces out of 20.

So...

4/5 of the bar is equivalent to 16/20.

Notice that:

4 x 4 = 16

4 x 5 = 20

We get equivalent fractions by multiplying the numerator (top) and the denominator (bottom) of a fraction by the same number.

Example

Find the values of A, B, C and D to form equivalent fractions.

 3 9
=
 6 18
=
 A 27
=
 12 B
=
 C D

3/9 is the starting fraction.

In the second fraction, we get 6/18 by multiplying top and bottom of 3/9 by 2.

In the third fraction, we multiply top and bottom by 3. So A is 3 × 3 = 9.

In the fourth fraction, we multiply top and bottom by 4. So B is 4 × 9 = 36.

And in the last fraction, we multiply top and bottom by 5. So C is 5 × 3 = 15 and D is 5 × 9 = 45.

Notice the patterns.

The tops go  3, 6, 9, 12, 15.

The bottoms go 9, 18, 27, 36, 45.

In this worksheet, look for patterns like this.

Find the values of A, B, C and D to form equivalent fractions.

 1 5
=
 2 10
=
 A 15
=
 4 B
=
 C D

## Column B

A
3
B
25
C
5
D
20

Find the values of A, B, C and D to form equivalent fractions.

 2 6
=
 4 12
=
 A 18
=
 8 B
=
 C D

## Column B

A
24
B
10
C
30
D
6

Find the values of A, B, C and D to form equivalent fractions.

 4 6
=
 8 12
=
 A 18
=
 16 B
=
 C D

## Column B

A
12
B
24
C
30
D
20

Find the values of A, B, C and D to form equivalent fractions.

 7 8
=
 14 16
=
 A 24
=
 28 B
=
 C D

## Column B

A
40
B
32
C
21
D
35

Find the values of A, B, C and D to form equivalent fractions.

 2 3
=
 4 6
=
 A 9
=
 8 B
=
 C D

## Column B

A
6
B
15
C
10
D
12

Find the values of A, B, C and D to form equivalent fractions.

 1 4
=
 2 8
=
 A 12
=
 4 B
=
 C D

## Column B

A
5
B
20
C
3
D
16

Find the values of A, B, C and D to form equivalent fractions.

 4 6
=
 8 12
=
 A 18
=
 16 B
=
 C D

## Column B

A
30
B
12
C
24
D
20

Find the values of A, B, C and D to form equivalent fractions.

 3 4
=
 6 8
=
 A 12
=
 12 B
=
 C D

## Column B

A
15
B
20
C
16
D
9

Find the values of A, B, C and D to form equivalent fractions.

 3 9
=
 6 18
=
 A 27
=
 12 B
=
 C D

## Column B

A
15
B
36
C
45
D
9

Find the values of A, B, C and D to form equivalent fractions.

 1 2
=
 2 4
=
 A 6
=
 4 B
=
 C D

## Column B

A
8
B
5
C
3
D
10
• Question 1

Find the values of A, B, C and D to form equivalent fractions.

 1 5
=
 2 10
=
 A 15
=
 4 B
=
 C D

## Column B

A
3
B
20
C
5
D
25
EDDIE SAYS
The tops go 1, 2, 3, 4, 5.
The bottoms go 5, 10, 15, 20, 25.
• Question 2

Find the values of A, B, C and D to form equivalent fractions.

 2 6
=
 4 12
=
 A 18
=
 8 B
=
 C D

## Column B

A
6
B
24
C
10
D
30
EDDIE SAYS
The tops go 2, 4, 6, 8, 10.
The bottoms go 6, 12, 18, 24, 30.
• Question 3

Find the values of A, B, C and D to form equivalent fractions.

 4 6
=
 8 12
=
 A 18
=
 16 B
=
 C D

## Column B

A
12
B
24
C
20
D
30
EDDIE SAYS
The tops go 4, 8, 12, 16, 20.
The bottoms go 6, 12, 18, 24, 30.
• Question 4

Find the values of A, B, C and D to form equivalent fractions.

 7 8
=
 14 16
=
 A 24
=
 28 B
=
 C D

## Column B

A
21
B
32
C
35
D
40
EDDIE SAYS
The tops go 7, 14, 21, 28, 35.
The bottoms go 8, 16, 24, 32, 40.
• Question 5

Find the values of A, B, C and D to form equivalent fractions.

 2 3
=
 4 6
=
 A 9
=
 8 B
=
 C D

## Column B

A
6
B
12
C
10
D
15
EDDIE SAYS
The tops go 2, 4, 6, 8, 10.
The bottoms go 3, 6, 9, 12, 15.
• Question 6

Find the values of A, B, C and D to form equivalent fractions.

 1 4
=
 2 8
=
 A 12
=
 4 B
=
 C D

## Column B

A
3
B
16
C
5
D
20
EDDIE SAYS
The tops go 1, 2, 3, 4, 5.
The bottoms go 4, 8, 12, 16, 20.
• Question 7

Find the values of A, B, C and D to form equivalent fractions.

 4 6
=
 8 12
=
 A 18
=
 16 B
=
 C D

## Column B

A
12
B
24
C
20
D
30
EDDIE SAYS
The tops go 4, 8, 12, 16, 20.
The bottoms go 6, 12, 18, 24, 30.
• Question 8

Find the values of A, B, C and D to form equivalent fractions.

 3 4
=
 6 8
=
 A 12
=
 12 B
=
 C D

## Column B

A
9
B
16
C
15
D
20
EDDIE SAYS
The tops go 3, 6, 9, 12, 15.
The bottoms go 4, 8, 12, 16, 20.
• Question 9

Find the values of A, B, C and D to form equivalent fractions.

 3 9
=
 6 18
=
 A 27
=
 12 B
=
 C D

## Column B

A
9
B
36
C
15
D
45
EDDIE SAYS
The tops go 3, 6, 9, 12, 15.
The bottoms go 9, 18, 27, 36, 45.
• Question 10

Find the values of A, B, C and D to form equivalent fractions.

 1 2
=
 2 4
=
 A 6
=
 4 B
=
 C D

## Column B

A
3
B
8
C
5
D
10
EDDIE SAYS
The tops go 1, 2, 3, 4, 5.
The bottoms go 2, 4, 6, 8, 10.
---- OR ----

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