# 7.02 Fraction bars 1

Lesson

## Ideas

Can you divide 8 into 2 equal groups? Can you share 24 equally between 3 groups? Practice this concept below.

### Examples

#### Example 1

We need to equally share these apples between 4 people. How many does each person get?

Worked Solution
Create a strategy

Group the apples into 4 groups and count how many are in each group.

Apply the idea

Here we have 4 groups with 3 apples in each group. So each person will get 3 apples.

Idea summary

A picture or an array can help us share or divide an amount between groups.

## Fraction bars

Fractions are closely related to division. For example, sharing equally between two groups is also called halving. One half can be written as \dfrac{1}{2}. Let's learn more about halves, thirds, fourths and fifths.

### Examples

#### Example 2

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 rectangles that make up the whole bar.

Apply the idea

There are 5 rectangles inside the fraction bar.

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:

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

• The numerator (top number) is how many parts that are shaded, and so shows the value of the fraction.

### Outcomes

#### MA2-7NA

represents, models and compares commonly used fractions and decimals