 # 5.03 Fractions on a number line

Lesson

## Ideas

Let's try this problem to help us remember how to locate a  fraction on a number line  .

### Examples

#### Example 1

Plot \dfrac{1}{10} on the number line.

Worked Solution
Create a strategy

Apply the idea

Since the number line is already divided into 10 spaces, we just need to move right 1 space.

Idea summary

When plotting a fraction on a number line:

• the denominator (bottom number) shows how many parts there should be between each whole number.

• the numerator (top number) shows the number of parts to move to the right from the previous whole number.

## Fractions on a number line to represent fractions to tenths and beyond

Let's look at how to plot fractions on a number line.

### Examples

#### Example 2

Plot \dfrac{4}{3} on the number line.

Worked Solution
Create a strategy

The space between 0 and 1 on the number line has been divided into 3 equal spaces. Use the fraction bar model to help you count up to \dfrac{4}{3}.

Apply the idea

To plot \dfrac{4}{3}, we can start at zero and jump right 4 spaces.

Idea summary

The denominator shows how many parts make the whole.

The numerator is the number of parts within this fraction.

A mixed fraction includes a whole number and a fraction.

### Outcomes

#### MA2-7NA

represents, models and compares commonly used fractions and decimals