Put Two Fractions in Order

In this worksheet, students decide which of two fractions is larger by using common denominators to compare their sizes.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Order for All Numbers

Difficulty level:

QUESTION 1 of 10

In this worksheet, we must decide which of two fractions is larger and then use the < or > symbol.

Example

Without a calculator, we want to decide which is larger

 6 10

 or

 5 9

We can use common denominators and change both fractions into 90ths.

 6 10
=
 6×9 10×9
=
 54 90

 5 9
=
 5×10 9×10
=
 50 90

 54 90
>
 50 90
ie.
 6 10
>
 5 9

Find which of the following fractions is larger.

 8 3

 1 4

>

<

Find which of the following fractions is larger.

 1 12

 12 10

>

<

Find which of the following fractions is larger.

 1 8

 11 12

<

>

Find which of the following fractions is larger.

 9 10

 8 10

<

>

Find which of the following fractions is larger.

 5 6

 10 2

<

>

Find which of the following fractions is larger.

 12 8

 12 5

<

>

Find which of the following fractions is larger.

 5 8

 1 8

<

>

Find which of the following fractions is larger.

 12 5

 7 2

<

>

Find which of the following fractions is larger.

 3 2

 12 7

<

>

Find which of the following fractions is larger.

 10 11

 10 8

<

>

• Question 1

Find which of the following fractions is larger.

 8 3

 1 4

>
EDDIE SAYS
Change both numbers to have a denominator of 12
• Question 2

Find which of the following fractions is larger.

 1 12

 12 10

<
EDDIE SAYS
Change both numbers to have a denominator of 60 OR 120
• Question 3

Find which of the following fractions is larger.

 1 8

 11 12

<
EDDIE SAYS
Change both numbers to have a denominator of 24, 48 etc
• Question 4

Find which of the following fractions is larger.

 9 10

 8 10

>
EDDIE SAYS
These can be directly compared as the denominator is already the same
• Question 5

Find which of the following fractions is larger.

 5 6

 10 2

<
EDDIE SAYS
Change both numbers to have a denominator of 6, 12 etc
• Question 6

Find which of the following fractions is larger.

 12 8

 12 5

<
EDDIE SAYS
Change both numbers to have a denominator of 40, 80, 120 etc
• Question 7

Find which of the following fractions is larger.

 5 8

 1 8

>
EDDIE SAYS
These can be directly compared as the denominators are the same
• Question 8

Find which of the following fractions is larger.

 12 5

 7 2

<
EDDIE SAYS
Change both numbers to have a denominator of10, 20 , 30 etc
• Question 9

Find which of the following fractions is larger.

 3 2

 12 7

<
EDDIE SAYS
Change both numbers to have a denominator of 14, 28, 42 etc
• Question 10

Find which of the following fractions is larger.

 10 11

 10 8

<
EDDIE SAYS
Change both numbers to have a denominator of 88, 176, 264 etc
---- OR ----

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