Compare non-unit fractions with the same denominator | Maths

Starter quiz

$What fraction of the pizza has been eaten?$

What fraction of the pizza has been eaten?

$\frac{3}{8}$ ✓

$\frac{3}{5}$

$\frac{5}{8}$
$What fraction of the pizza has not been eaten?$

What fraction of the pizza has not been eaten?

$\frac{3}{8}$

$\frac{3}{5}$

$\frac{5}{8}$ ✓
$What fraction is represented on the number line?$

What fraction is represented on the number line?

$\frac{5}{6}$ ✓

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{5}{5}$
$What fraction is represented on the number line?$

What fraction is represented on the number line?

$\frac{5}{6}$

$\frac{1}{6}$

$\frac{4}{5}$ ✓

$\frac{1}{5}$
What is the missing numerator?

'7' ✓
Jacob uses an even number to make this correct. What number could he have used?

'2' ✓

Exit quiz

Which of these is correct?

$\frac{5}{9}$ is greater than $\frac{6}{9}$

$\frac{6}{9}$ is greater than $\frac{5}{9}$ ✓

$\frac{6}{9}$ is equal to $\frac{5}{9}$
Which symbol would make this correct?

> ✓

<

=
Put these fractions in order, starting with the smallest.

1

⇔

$\frac{2}{10}$

2

⇔

$\frac{5}{10}$

3

⇔

$\frac{10}{10}$
Put these fractions in order, starting with the smallest.

1

⇔

$\frac{1}{8}$

2

⇔

$\frac{5}{8}$

3

⇔

$\frac{7}{8}$

4

⇔

$\frac{8}{8}$
What is the missing numerator?

'9' ✓
What is the missing numerator?

'5' ✓

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

To compare non-unit fractions, the whole must be the same for each fraction.
When you compare fractions with the same denominator, the greater the numerator the greater the fraction .
If the whole is not the same, you can not compare the fractions.

Common misconception

Pupils may try to compare fractions where the wholes are not the same.

It's important that pupils understand that for comparison of fractions the wholes must be the same. This lesson uses one example of comparing distances in miles versus distance in kilometres as well as comparing pizzas of different shape and size.

Keywords

Denominator - A denominator is the bottom number written in a fraction.
Numerator - A numerator is the top number written in a fraction.