 # 7.01 Unit fractions

Lesson

## Ideas

You may have already seen the fraction one half in previous year levels. Can you answer this question?

### Examples

#### Example 1

a

Complete the statement:

A half is one whole which has been divided into equal parts.

Worked Solution
Create a strategy

Use the table below to help:

Apply the idea

A half is one whole which has been divided into 2 equal parts.

b

Which of the following represents \dfrac{1}{2} on a circle?

A
B
Worked Solution
Create a strategy

The bottom number (denominator) tells us the number of equal parts the shape has been broken into. The top number (numerator) tells us the number of parts we have shaded.

Apply the idea

The fraction \dfrac{1}{2} is asking for 1 out of 2 parts to be shaded. So the correct answer is Option B.

Idea summary

A half, \dfrac{1}{2}, is one whole which has been divided into 2 equal parts.

## Unit fractions

This video will show us about unit fractions.

### Examples

#### Example 2

What fraction is shown here?

Worked Solution
Create a strategy

Write the fraction as: \, \dfrac{\text{Number of parts shaded}}{\text{Total number of parts}}

Apply the idea

There is 1 shaded part out of a total 7 parts.

Idea summary

The numerator in a unit fraction is always 1. It is written in the form:

\dfrac{1}{\text{Total number of parts}}

### Outcomes

#### MA2-7NA

represents, models and compares commonly used fractions and decimals