New

Compare mixed numbers when the numerators of fractional parts are different

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

Download all

View unit

Lesson 4 of 5

New

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.

Download all

Lesson slides

Download lesson slides

Skip lesson slides

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.

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.

Teacher tip

Licence

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).

Lesson video

Skip lesson video

Worksheet

Download worksheet

Skip worksheet

Prior knowledge starter quiz

Download quiz pdf

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

Download quiz pdf

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

Lesson appears in

UnitMaths / Compare and order mixed numbers and position on a number line

Maths

Show unit

Choose exam board for KS4 Biology

Choose exam board for KS4 Chemistry

Choose exam board for KS4 Combined science

Choose exam board for KS4 Computer Science (GCSE)

Choose exam board for KS4 English

Choose exam board for KS4 French

Choose exam board for KS4 Geography

Choose exam board for KS4 German

Choose exam board for KS4 History

Choose tier for KS4 Maths

Choose exam board for KS4 Music

Choose exam board for KS4 Physical education (GCSE)

Choose exam board for KS4 Physics

Choose exam board for KS4 Religious education (GCSE)

Choose exam board for KS4 Spanish

Compare mixed numbers when the numerators of fractional parts are different

Compare mixed numbers when the numerators of fractional parts are different

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

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?

Lesson appears in

UnitMaths / Compare and order mixed numbers and position on a number line

Maths

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?