New
New
Year 3

# Compare non-unit fractions including those equal to 1

I can compare non-unit fractions including those equal to 1

New
New
Year 3

# Compare non-unit fractions including those equal to 1

I can compare non-unit fractions including those equal to 1

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## Lesson details

### Key learning points

1. To compare non-unit fractions, the whole must be the same for each fraction.
2. When the numerators are the same, the greater the denominator, the smaller the fraction.
3. When the denominators are the same, the greater the numerator, the greater the fraction.

### Common misconception

Pupils may struggle to compare fractions with the same numerator or denominator.

Encourage pupils to use fraction representations to help them visualise. Reference the size of the parts (same numerator, greater denominator means smaller parts) or how many there are (same denominator, greater numerator means more parts).

### Keywords

• Denominator - A denominator is the bottom number written in a fraction.

• Numerator - A numerator is the top number written in a fraction.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Which symbol would make this correct?
=
>
Q2.
Sofia is comparing $$\frac{6}{7}$$ and $$\frac{7}{7}$$ Which of these is true?
Correct answer: $$\frac{6}{7}$$ is less than $$\frac{7}{7}$$
$$\frac{6}{7}$$ is greater than $$\frac{7}{7}$$
$$\frac{6}{7}$$ is equal to $$\frac{7}{7}$$
Correct answer: $$\frac{7}{7}$$ is equal to one whole
Q3.
Which symbol would make this correct?
<
=
Q4.
Order these fractions from smallest to largest.
1 - $$\frac{2}{11}$$
2 - $$\frac{4}{11}$$
3 - $$\frac{7}{11}$$
4 - $$\frac{9}{11}$$
Q5.
What fractions would be positioned between $$\frac{4}{9}$$ and $$\frac{7}{9}$$ on the number line?
$$\frac{3}{9}$$
Correct answer: $$\frac{5}{9}$$
Correct answer: $$\frac{6}{9}$$
$$\frac{8}{9}$$
Q6.
Order these fractions from smallest to largest.
1 - $$\frac{5}{11}$$
2 - $$\frac{5}{9}$$
3 - $$\frac{5}{7}$$
4 - $$\frac{5}{5}$$

## Exit quiz

### 6 Questions

Q1.
Sofia loves milkshake. Would she rather have $$\frac{4}{7}$$, $$\frac{5}{7}$$ or $$\frac{6}{7}$$ of a milkshake?
$$\frac{4}{7}$$
$$\frac{5}{7}$$
Correct answer: $$\frac{6}{7}$$
Q2.
Sofia loves milkshake. Would she rather have $$\frac{2}{3}$$, $$\frac{2}{4}$$ or $$\frac{2}{5}$$ of a milkshake?
Correct answer: $$\frac{2}{3}$$
$$\frac{2}{4}$$
$$\frac{2}{5}$$
Q3.
Which symbol would make this correct?
<
=
Q4.
Order these fractions from smallest to largest.
1 - $$\frac{4}{11}$$
2 - $$\frac{4}{9}$$
3 - $$\frac{4}{7}$$
4 - $$\frac{4}{5}$$
Q5.
Order the fractions from smallest to largest.
1 - $$\frac{3}{10}$$
2 - $$\frac{3}{8}$$
3 - $$\frac{5}{8}$$
4 - $$\frac{5}{6}$$
Q6.
What fraction would be positioned between $$\frac{4}{9}$$ and $$\frac{7}{9}$$ on the number line?
$$\frac{4}{10}$$
Correct answer: $$\frac{4}{8}$$
$$\frac{7}{8}$$