# 5.01 Name and identify fractions

Lesson

In previous years we have practiced  identifying fractions from fraction bars  . Let's practice this concept.

### Examples

#### Example 1

Here is a fraction bar.

Complete the statements below.

a

This fraction bar has equal parts.

Worked Solution
Create a strategy

Count the number of smaller squares that make up the whole bar.

Apply the idea

Here is one part. There are 5 pieces of this size in the whole.

This fraction bar has 5 equal parts.

b

Each part is \dfrac{⬚}{⬚} of the whole.

Worked Solution
Create a strategy

Each part looks like this:

We can write this fraction as:

Apply the idea

Each part is \dfrac{1}{5} of the whole.

Idea summary

When writing fractions from fraction bars:

## Fraction bars to represent fractions up to tenths

This video shows how to name fractions from fraction bars.

### Examples

#### Example 2

Below is a fraction bar.

What is the fraction of the coloured piece?

A
\dfrac{2}{3}
B
\dfrac{3}{4}
C
\dfrac{1}{4}
D
\dfrac{1}{3}
Worked Solution
Create a strategy

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

Apply the idea

There is 1 shaded part and 3 total parts in the fraction bar. So the fraction is \dfrac{1}{3}.

The correct option is D.

Idea summary

When writing fractions using fraction bars:

• The denominator (bottom number) shows the number of equal parts the whole is divided into.
• The numerator (top number) shows how many parts are shaded.

## Fractions of shapes up to tenths and beyond

This video shows how to name fractions from area models.

### Examples

#### Example 3

Which of the following shows \dfrac{3}{4} of the area shaded?

A
B
Worked Solution
Create a strategy

The top part of the fraction (numerator) tells us how many parts of the shape should be shaded. The bottom part of the fraction (denominator) tells us how many parts to divide the shape up into.

Apply the idea

The fraction \dfrac{3}{4} is asking for three parts of the shape to be shaded. So 3 out of 4 parts should be shaded. This means that the correct answer is Option B.

Idea summary

The denominator (bottom number) is the number of equal parts the shape is divided into.

The numerator (top number) is the number of parts shaded to represent the fraction.

### Outcomes

#### MA2-7NA

represents, models and compares commonly used fractions and decimals