Non-unit fractions are fractions that have a numerator other than one. Watch this video to learn about comparing non-unit fractions using a number line.

Try these questions for yourself.

Worked examples

Question 3

Think about the fractions $\frac{3}{4}$34 and $\frac{4}{5}$45.

Plot the number $\frac{3}{4}$34 on the number line.

Plot the number $\frac{4}{5}$45 on the number line.

The two numbers can be shown on the same number line like this:

Which number is bigger?

$\frac{3}{4}$34

A

$\frac{4}{5}$45

B

Question 4

Think about the fractions $\frac{7}{8}$78 and $\frac{8}{9}$89.

Plot the number $\frac{7}{8}$78 on the number line.

Plot the number $\frac{8}{9}$89 on the number line.

The two numbers can be shown on the same number line like this:

Which number is smaller?

$\frac{8}{9}$89

A

$\frac{7}{8}$78

B

Fractions in words

Being able to look at number lines and describe them in many ways shows a good understanding of fractions. Sometimes the fractions can be written in words, so $\frac{1}{8}$18 is written as "one eighth."

Try this question for yourself.

Worked example

Question 5

Using the given number lines, select all correct statements from the following.

One quarteris greater than oneeighth

A

Three quartersis greater thanseveneighths

B

Seven eighthsis greater thanthreequarters

C

One quarteris equal to oneeighth

D

Remember!

We use the denominator to divide the number line into equal parts.

We use the numerator to select the number of parts.

The further along the number line, the larger the fraction.

Outcomes

5.NN1.05

Represent, compare, and order fractional amounts with like denominators, including proper and improper fractions and mixed numbers, using a variety of tools (e.g., fraction circles, Cuisenaire rods, number lines) and using standard fractional notation