Making a whole
A whole can be made up of any number of parts.
This square has been divided into 3 equal parts.

Each part is one-third of the whole.
Together the 3 one-thirds are equal to the whole.
Activity: Making a whole
Complete this interactive activity to understand how to make a whole, then put your knowledge to the test.
Making a whole
Take a look at this slideshow to find out how to make a whole.

Image caption, This circle has been divided into 3 parts, but the parts are not equal.

Image caption, This circle has been divided into 3 equal parts. Each part is one-third of a whole.

Image caption, In this circle, 1 one-third has been shaded.

Image caption, In this circle, 3 one-thirds have been shaded. That is the same as a whole.

Image caption, You can also divide lines or groups of things into equal parts.

Image caption, This group of 12 children has been divided into 4 groups. There are 3 children in each group. Each group is a quarter of the whole.
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Example 1
Take a look at this shape and answer these three questions.

How many parts has it been divided into?
How many parts are shaded?
Are the parts equal?
✓ Here are the answers:
- The shape has been divided into five parts.
- One part, or 1 one-fifth, has been shaded.
- All the parts are equal.

Example 2
Here are 10 children in a group.

If you divided the group into 5 teams, how many children would be in each team?
Can you also divide them into 3 equal teams?
✓ There would be 2 children in each team, if you divided the group into 5 equal teams.

You can not divide the group into 3 equal teams, because there would be an unequal number of children in each team.

Example 3

This shape is one part of a whole. There are 4 equal parts to the whole.
What shape is the whole?
✓ The whole is a circle.
The whole contains 4 equal one-quarters.

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More on Fractions
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