This document provides success criteria for comparing fractions. It aims to teach students to: compare fractions with the same denominator by looking at the numerator; find the lowest common multiple to compare fractions with different denominators; and use common numerators to compare fraction sizes. The document contains examples and explanations of comparing fractions using these different methods in less than or equal to 3 sentences.

1. NUMBER TALK

3. Success Criteria
Aim
• Statement 1 Lorem ipsum dolor sit amet, consectetur adipiscing elit.
• Statement 2
• Sub statement
Success Criteria
Aim
• To compare fractions with multiples of the same number.
• I can compare fractions with the same denominator by looking at
the numerator.
• I can find the lowest common multiple to compare fractions with
different denominators.
• I can use common numerators to compare the sizes of fractions.

4. Remember It
Complete the missing values on each number line.
0 1
2
9
4
9
7
9
8
9
9
9
1
9
3
9
5
9
6
9
1
8
1
5
8
1
8
8
or 1 2

5. Remember It
Complete the missing values on each number line.
11
7
1
7
1
16
7
1
2
1
6
7
1
0
0
1
2
4
2
3
2
6
2
7
2
8
2
1 4
3
1
2
2
1
2
3
2
2
5
2
9
2
10
2
1
2
4
1
2 2 5

6. Re-visiting Equivalent Fractions
Look at the bar model. Explain how it could
help Katya find an equivalent fraction to .
1
4
The second row of the bar model shows quarters, as
there is 1 whole divided into 4 equal parts. One quarter
is shaded orange.
We can therefore see that one quarter
is equivalent to two eighths.
1
4
=
2
8
The third row of the bar model shows eighths as there is 1 whole
divided into 8 equal parts. Two eighths are shaded teal.
1 whole
1
4
1
8
1
8

7. Re-visiting Equivalent Fractions
Two thirds are equivalent to six ninths.
=
2
3
6
9
1
Do you agree with Melany? Use the bar model to help
explain your thinking with a partner.
1
3
1
3
1
3
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
1
9
Melany is correct. Using the bar model we can see that the bar showing
is the same length as the bar showing therefore they are equivalent.
2
3
6
9
2
3
6
9

8. Re-visiting Equivalent Fractions
Look at the children’s statements below. Which statements do you
agree with? Explain your answer to your partner.
Donny
are equivalent to
three quarters.
9
12
Max’s statement is not
correct. Using the bar
model, we can see that
is the same as , not .
3
4
6
8
5
8
Max
Three quarters are
equivalent to five eighths.
3
4 = 5
8
1
1
4
1
4
1
4
1
4
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
1
12
Donny’s statement is
correct. Using the bar
model, we can see that the
purple bar showing is
the same length as the
teal bar showing .
9
12
3
4
3
4
9
12

9. Compare Fractions
Sometimes we need to
compare fractions, to
see which is biggest. If
they have the same
denominators, they are
easy to compare.
3
6
2
6
>
1
6
2
6
<
1
6
3
6
2
6

10. 4
9
8
9
7
10
3
10
<
>
Have a think
What’s the same and what’s different?
What do you notice?
Write >, < or = to compare the fractions

11. 4
9
8
9
7
10
3
10
What’s the same and what’s different?
What do you notice?
When the denominators are the same, the the
numerator, the the fraction.
greater
greater
smaller
smaller
<
>
Write >, < or = to compare the fractions

12. Compare Fractions
Compare the bar models. What can you see?
When fractions have different denominators, we can sometimes
use bar models to help compare them.
5
8
<
3
4
The bar models show that is smaller than .
5
8
3
4
But, what if we didn’t have a bar model?

13. Compare Fractions
We can compare fractions,
but first we have to give them
a common denominator.
First, we find an equivalent
fraction so that the
denominators are the same.
3
4
5
8
3
4
5
8
=
× 2
× 2
6
8
>
Now, both fractions have the common denominator of eighths
so we can compare them.
We can easily find how many eighths are the same as by doubling
the numerator and the denominator.
3
4

14. Give the fractions common
denominators and compare:
Common Denominators
4
6
2
3
=
× 2
4
6
=
× 2
1
3
4
9
=
× 3
3
9
<
× 3
6
16
5
8
=
× 2
10
16
<
× 2

15. Common Denominators
To find a common
denominator, you can
sometimes simplify a
fraction using division.
4
6
2
3
=
÷ 2
÷ 2
2
3
=
Compare the fractions shown.
This time, use division to
simplify one of the fractions.

16. Write >, < or = to compare the fractions
2
3
3
4
Multiples of 3: 3, 6, 9, 12, 15, 18
Multiples of 4: 4, 8, 12, 16, 20
× 4
8
12
× 3
9
12
<

17. Rosie and Amir both baked some cakes. They got a little
peckish and ate part of a cake!
I have 2
5
6
cakes left. I have
14
5
left.
Who has the most cake left?
Have a think
14
5
= 14 ÷ 5 = 2
4
5
I have 2
4
5
left.

18. Rosie and Amir both baked some cakes. They got a little
peckish and ate part of a cake!
Who has the most cake left?
5
6
4
5
Multiples of 6: 6, 12, 18, 24, 30
Multiples of 5: 5, 10, 15, 20, 25, 30
× 5 × 6
25
30
24
30
I have 2
5
6
cakes left. I have
14
5
left.
I have 2
4
5
left.

19. Common Numerators
1
6
1
2
1
3
When fractions have the
same numerators, we can
easily compare them.
2
3
2
4
>
5
10
5
8
<
Remember that small
denominators, such as
halves and thirds, show
larger portions of the
whole than bigger
denominators.

20. Common Numerators
Which of these fractions could
we convert, so that they have
the same numerator?
It’s sometimes better to find common
numerators than common denominators.
In this example, we would have to expand
both fractions to give them a common
denominator, but we can give them
common numerators by just expanding
one of the fractions.
4
5
2
8
>
4
5
2
8
=
× 2
4
16
>
× 2
is larger than because fifths
are larger than sixteenths.
4
5
4
16
4
5
4
16

21. 4
9
4
5
<
Write >, < or = to compare the fractions
2
3
2
7
>
What’s the same and what’s different?
What do you notice? Have a think

22. 4
9
4
5
<
Write >, < or = to compare the fractions
2
3
2
7
>
What’s the same and what’s different?
What do you notice?
When the numerators are the same, the the
denominator, the the fraction.
greater
greater
smaller
smaller

23. Put the following fractions in order from greatest to smallest.
3
4
3
7
3
5
3
10
When the numerators are the same, the smaller the
denominator, the greater the fraction.
Have a think

24. Compare Fractions Less Than 1
Using common denominators or common numerators, compare the
fractions shown. (There is more than one way to convert the fractions
before comparing. Only one example is given.)
4
5
2
3
2
16
3
8
4
11
2
5
1
3
4
12
4
6
2
4
4
5
2
3
4
6
=
>
2
16
=
1
8
3
8
<
4
11
2
5
4
10
=
<
1
3
=
4
12
4
12
=
4
6
2
4
4
8
=
>

25. Compare Fractions Less Than 1
These fractions have denominators which are all multiples of the same
number. To compare the fractions, find the lowest common denominator.
1
2
The lowest common multiple between
the denominators of all three
fractions is 8. Expanding and
will help to compare the fractions
1
2
3
4
3
4
1
8

26. Compare Fractions Less Than 1
1
2
3
4
1
8
< >
1
2
=
× 4
4
8
× 4
3
4
=
× 2
6
8
× 2

27. Comparing Fractions

28. Dive in by completing your own activity!
Diving into Mastery

29. Fraction Puzzle
3
12
>
3
5
<
Find a way to complete
this fraction statement.
If you find an answer
that no one else does,
you score one point.

30. Success Criteria
Aim
• Statement 1 Lorem ipsum dolor sit amet, consectetur adipiscing elit.
• Statement 2
• Sub statement
Success Criteria
Aim
• To compare fractions with multiples of the same number.
• I can compare fractions with the same denominator by looking at
the numerator.
• I can find the lowest common multiple to compare fractions with
different denominators.
• I can use common numerators to compare the sizes of fractions.