Compare non-unit fractions including those equal to 1 | Maths

Starter quiz

Which symbol would make this correct?

< ✓

=

>
Sofia is comparing $\frac{6}{7}$ and $\frac{7}{7}$ Which of these is true?

$\frac{6}{7}$ is less than $\frac{7}{7}$ ✓

$\frac{6}{7}$ is greater than $\frac{7}{7}$

$\frac{6}{7}$ is equal to $\frac{7}{7}$

$\frac{7}{7}$ is equal to one whole ✓
Which symbol would make this correct?

<

=

> ✓
Order these fractions from smallest to largest.

1

⇔

$\frac{2}{11}$

2

⇔

$\frac{4}{11}$

3

⇔

$\frac{7}{11}$

4

⇔

$\frac{9}{11}$
$What fractions would be positioned between <Math>\frac{4}{9}</Math> and <Math>\frac{7}{9}</Math> on the number line?$

What fractions would be positioned between $\frac{4}{9}$ and $\frac{7}{9}$ on the number line?

$\frac{3}{9}$

$\frac{5}{9}$ ✓

$\frac{6}{9}$ ✓

$\frac{8}{9}$
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

Sofia loves milkshake. Would she rather have $\frac{4}{7}$ , $\frac{5}{7}$ or $\frac{6}{7}$ of a milkshake?

$\frac{4}{7}$

$\frac{5}{7}$

$\frac{6}{7}$ ✓
Sofia loves milkshake. Would she rather have $\frac{2}{3}$ , $\frac{2}{4}$ or $\frac{2}{5}$ of a milkshake?

$\frac{2}{3}$ ✓

$\frac{2}{4}$

$\frac{2}{5}$
Which symbol would make this correct?

<

=

> ✓
Order these fractions from smallest to largest.

1

⇔

$\frac{4}{11}$

2

⇔

$\frac{4}{9}$

3

⇔

$\frac{4}{7}$

4

⇔

$\frac{4}{5}$
Order the fractions from smallest to largest.

1

⇔

$\frac{3}{10}$

2

⇔

$\frac{3}{8}$

3

⇔

$\frac{5}{8}$

4

⇔

$\frac{5}{6}$
$What fraction would be positioned between <Math>\frac{4}{9}</Math> and <Math>\frac{7}{9}</Math> on the number line?$

What fraction would be positioned between $\frac{4}{9}$ and $\frac{7}{9}$ on the number line?

$\frac{4}{10}$

$\frac{4}{8}$ ✓

$\frac{7}{8}$

Worksheet

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Lesson Details

Key learning points

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