Finding Equivalent Fractions

In this worksheet, students practise 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 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
 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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
 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 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

 A B C D 2 12 1 6
EDDIE SAYS
The denominator has to be six times the numerator
---- OR ----

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