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Lesson 4 of 5

Year 4

Compare mixed numbers when the numerators of fractional parts are different

I can compare and order mixed numbers when the whole is the same.

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Lesson 4 of 5

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Year 4

Compare mixed numbers when the numerators of fractional parts are different

I can compare and order mixed numbers when the whole is the same.

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Share activities with pupils

These resources will be removed by end of Summer Term 2025.

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Lesson details

Key learning points

If mixed numbers have the same whole number parts, then the size of the fractional parts determines the greater number.
When we compare fractions that have the same denominator, the greater the numerator, the greater the fraction.
Knowledge of comparing proper fractions can help when comparing mixed numbers.

Keywords

Mixed number - A mixed number is a whole number and a fraction combined.

Common misconception

Children may compare the fractional part of the mixed number first rather than the more significant whole number part.

What do you notice? If the whole number is the same, we need to look at the fractional part. If the denominators are the same, we need to compare the numerators - the smaller the numerator the smaller the fraction.

To help you plan your year 4 maths lesson on: Compare mixed numbers when the numerators of fractional parts are different, download all teaching resources for free and adapt to suit your pupils' needs...

Support children to make connections between the ordering and comparing of mixed numbers and ordering and comparing of proper fractions that have the same denominator. Children need to understand, that with mixed numbers, the whole number part is the most significant part.

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This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Prior knowledge starter quiz

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6 Questions

Q1.
Starting with the smallest, put these numbers in order.

1 - 99

2 - 999

3 - 1,000

4 - 1,001

5 - 9,999

Q2.
Which fraction shows how much of the bar has been shaded?

$$ {2} \over {6}$$

$$ {6} \over {2}$$

Correct answer: $$ {6} \over {8}$$

$$ {8} \over {6}$$

Q3.
Look at the part-part-whole model. What is the value of the whole number part of this mixed number?

Correct Answer: 9

Q4.
Using the number line to compare the size of the numbers, complete the sentence using ‘greater’ or ‘smaller’: $$1{{2} \over {7}}$$ is __________ than $$2{{3} \over {7}}$$

Correct Answer: smaller

Q5.
Which symbol makes this statement true? 3 ___ $$3{{3} \over {5}}$$

Correct answer: <

Q6.
Look at these numbers. Which is the smallest?

$$6{{1} \over {7}}$$

Correct answer: $$1{{3} \over {7}}$$

$$2{{2} \over {8}}$$

Assessment exit quiz

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6 Questions

Q1.
Look at these representations of fractions and complete the sentence using ‘greater’ or ‘smaller’: $$ {2} \over {6}$$ is than $$ {4} \over {6}$$

Correct Answer: smaller

Q2.
Which symbol makes this statement true? $$ {2} \over {9}$$ ___ $$ {5} \over {9}$$

Correct answer: <

Q3.
Starting with the smallest, put these numbers in order.

1 - 0

2 - $$ {10} \over {20}$$

3 - $$ {12} \over {20}$$

4 - $$ {15} \over {20}$$

5 - $$ {17} \over {20}$$

6 - 1

Q4.
Which symbol makes this statement true? $$9{{6} \over {8}}$$ ___ $$9{{2} \over {8}}$$

Correct answer: >

Q5.
Starting with the smallest, put these numbers in order.

1 - 4

2 - $$4{{1} \over {10}}$$

3 - $$4{{6} \over {10}}$$

4 - $$4{{7} \over {10}}$$

5 - $$4{{9} \over {10}}$$

6 - 5

Q6.
Andeep has spilt his drink on his homework. What must the missing digit be?

Correct Answer: 6

Compare mixed numbers when the numerators of fractional parts are different

Compare mixed numbers when the numerators of fractional parts are different

These resources will be removed by end of Summer Term 2025.

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

How to plan a lesson using our resources

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.Starting with the smallest, put these numbers in order.

Q2.Which fraction shows how much of the bar has been shaded?

Q3.Look at the part-part-whole model. What is the value of the whole number part of this mixed number?

Q4.Using the number line to compare the size of the numbers, complete the sentence using ‘greater’ or ‘smaller’: $$1{{2} \over {7}}$$ is __________ than $$2{{3} \over {7}}$$

Q5.Which symbol makes this statement true? 3 ___ $$3{{3} \over {5}}$$

Q6.Look at these numbers. Which is the smallest?

Assessment exit quiz

6 Questions

Q1.Look at these representations of fractions and complete the sentence using ‘greater’ or ‘smaller’: $$ {2} \over {6}$$ is than $$ {4} \over {6}$$

Q2.Which symbol makes this statement true? $$ {2} \over {9}$$ ___ $$ {5} \over {9}$$

Q3.Starting with the smallest, put these numbers in order.

Q4.Which symbol makes this statement true? $$9{{6} \over {8}}$$ ___ $$9{{2} \over {8}}$$

Q5.Starting with the smallest, put these numbers in order.

Q6.Andeep has spilt his drink on his homework. What must the missing digit be?

Q1.
Starting with the smallest, put these numbers in order.

Q2.
Which fraction shows how much of the bar has been shaded?

Q3.
Look at the part-part-whole model. What is the value of the whole number part of this mixed number?

Q4.
Using the number line to compare the size of the numbers, complete the sentence using ‘greater’ or ‘smaller’: $$1{{2} \over {7}}$$ is __________ than $$2{{3} \over {7}}$$

Q5.
Which symbol makes this statement true? 3 ___ $$3{{3} \over {5}}$$

Q6.
Look at these numbers. Which is the smallest?

Q1.
Look at these representations of fractions and complete the sentence using ‘greater’ or ‘smaller’: $$ {2} \over {6}$$ is than $$ {4} \over {6}$$

Q2.
Which symbol makes this statement true? $$ {2} \over {9}$$ ___ $$ {5} \over {9}$$

Q3.
Starting with the smallest, put these numbers in order.

Q4.
Which symbol makes this statement true? $$9{{6} \over {8}}$$ ___ $$9{{2} \over {8}}$$

Q5.
Starting with the smallest, put these numbers in order.

Q6.
Andeep has spilt his drink on his homework. What must the missing digit be?