 # 7.08 Fractions with objects

Lesson

## Ideas

We have looked at fractions on  fraction bars  and  fractions on a number line  .

### Examples

#### Example 1

Here is a shape divided into parts, use it to answer the following questions.

a

This shape has equal parts.

Worked Solution
Create a strategy

Count the number of smaller squares that make up the big square.

Apply the idea

This shape has 4 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}{4} of the whole.

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

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

## Fractions of groups

Fractions can also be used to divide a collection of items into equal groups. To do this we use the:

• denominator to divide the items into equal groups
• numerator to select the number of groups

### Examples

#### Example 2

Which of the following shows that \dfrac{1}{3} of these ice creams have been selected?

A
B
C
Worked Solution
Create a strategy

For each option, think about how many groups of the same size are possible.

Apply the idea

For option A:

Three ice creams are selected, so 4 groups of 3 can be created out of 12 ice creams. So this group is \dfrac{1}{4} of the ice creams.

For option B:

Four ice creams are selected, so 3 groups of 4 can be created out of 12 ice creams. So this group is \dfrac{1}{3} of the ice creams.

For option C:

Six ice creams are selected, so 2 groups of 6 can be created out of 12 ice creams. So this group is \dfrac{1}{2} of the ice creams.

So the correct answer is Option B.

Idea summary

To find a fraction of an amount, use the:

• denominator (bottom number) to divide the items into equal groups.
• numerator (top number) to select the number of groups.

### Outcomes

#### MA2-7NA

represents, models and compares commonly used fractions and decimals