Compare fractions with the same numerator | Maths | Quizalize & Oak National Academy

Starter quiz

Sofia is comparing $\frac{3}{8}$ and $\frac{5}{8}$ Which of these are true?

$\frac{3}{8}$ is less than $\frac{5}{8}$ ✓

$\frac{3}{8}$ is greater than $\frac{5}{8}$

$\frac{3}{8}$ is equal to $\frac{5}{8}$
Jacob is comparing $\frac{7}{12}$ and $\frac{9}{12}$ Which of these statements are true?

$\frac{7}{12}$ is less than $\frac{9}{12}$ ✓

$\frac{7}{12}$ is greater than $\frac{9}{12}$

$\frac{7}{12}$ is equal to $\frac{9}{12}$
$Which fraction would appear on a number line between <Math>\frac{2}{5}</Math> and <Math>\frac{4}{5}</Math>?$

Which fraction would appear on a number line between $\frac{2}{5}$ and $\frac{4}{5}$ ?

$\frac{1}{5}$

$\frac{3}{5}$ ✓

$\frac{3}{6}$

$\frac{3}{3}$
$Which fractions would appear on a number line between <Math>\frac{5}{12}</Math> and <Math>\frac{9}{12}</Math>?$

Which fractions would appear on a number line between $\frac{5}{12}$ and $\frac{9}{12}$ ?

$\frac{4}{12}$

$\frac{7}{12}$ ✓

$\frac{8}{12}$ ✓

$\frac{10}{12}$
Which is the missing denominator?

'5' ✓
What is the missing denominator?

'12' ✓

Exit quiz

Which symbol would make this correct?

< ✓

=

>
Which symbol would make this correct?

<

=

> ✓
$What fraction would be positioned between <Math>\frac{3}{9}</Math> and <Math>\frac{3}{7}</Math> on the number line?$

What fraction would be positioned between $\frac{3}{9}$ and $\frac{3}{7}$ on the number line?

$\frac{3}{6}$

$\frac{3}{8}$ ✓

$\frac{4}{7}$
$Jacob has ordered three fractions. What denominator is missing from one of the fractions?$

Jacob has ordered three fractions. What denominator is missing from one of the fractions?

'10' ✓
Order these fractions from smallest to greatest.

1

⇔

$\frac{5}{10}$

2

⇔

$\frac{5}{7}$

3

⇔

$\frac{5}{6}$
Order these fractions from greatest to smallest.

1

⇔

$\frac{3}{5}$

2

⇔

$\frac{3}{7}$

3

⇔

$\frac{3}{11}$

4

⇔

$\frac{3}{13}$

Worksheet

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Lesson Details

Key learning points

To compare fractions with the same numerator, the whole must be the same.
When the numerators are the same, the greater the denominator, the smaller the fraction.
When the numerators are the same, the smaller the denominator, the larger / greater the fraction.

Common misconception

When a number is higher, its value is greater. Pupils may struggle to understand that as the denominator gets larger / greater, the size of the parts get smaller.

Show pupils lots of images, comparing fractions with the same numerator (e.g. one-fifth and one-third and then two-fifths and two-thirds). Highlight that even though the number of parts we have is the same, the size of those parts is different.

Keywords

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