If 2 equals 3

The break as part of the whole

Do you like pizza? Pizza is pretty much math related! :) And with a fraction calculation!

A fraction indicates a part of a whole.

A natural fraction is always smaller than a whole, i.e. smaller than 1.

4 examples:

Say: One and a half Say: One third

Say: a quarter. Say: a sixth


You can continue dividing up as you like. The pizza can also have other shapes.



Say: a twenty-first

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Three technical terms in a fraction

For a fraction you use these technical terms:



The counter counts the parts that you have in front of you.
The denominator indicates how many equal parts you have divided the whole thing into.


Another example:

Here you can see $$ 2/3 $$ of the pizza. $$ 1/3 $$ is missing.


You can count the pizza slices. There are 2.
You can see that the pizza has been divided into three equal pieces. That is why the denominator contains the 3.

The fraction line stands for DIVIDED.

You can also calculate or write down numerator: denominator.

Would you have said 0.5 here? Is also correct! 0.5 is just another way of writing $$ 1/2 $$.

From the whole to the break


You divide the whole thing into 4 equal parts (denominator) and take 1 of them (numerator).


You divide the whole thing into 4 equal parts (denominator) and take 3 of them (numerator).

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Fractions in length specifications


Here 3 of a total of 8 parts are colored red.
The fraction for it: $$ 3/8 $$.


Here 3 of a total of 7 parts are colored red.
The fraction for it: $$ 3/7 $$.


Here 3 out of 6 parts are colored red.
The fraction for it: $$ 3/6 $$.


Here 3 of a total of 5 parts are colored red.
The fraction for it: $$ 3/5 $$.


Here 3 out of 4 parts are colored red.
The fraction for it: $$ 3/4 $$.


Here 3 out of 3 parts are colored red.
The fraction for it: $$ 3/3 $$.

You may also see here that half of the route is red. $$ 1/2 $$ is also the correct specification for the coloring. A fraction can have different names. Still, the fraction has the same value.

You can also enter the whole (1) as a fraction. The numerator and denominator are the same here.

Fractions in size information

There are also fractions for sizes.

For example, you can say, "I would like $ 1/2 $$ kg of cherries." This means that the whole kilogram of cherries is divided into two equal parts. You get a half. That's 500 g, because one kilogram is 1000 g.

You can buy $$ 3/4 $$ m cord at the handicraft store. This means that 1 m of cord is divided into 4 equal parts. You get three of them. It is then 75 cm, because 1m = 100 cm.

You can meet in fifteen minutes. That means that you will be ready in 15 minutes. You divide the lesson into four parts. 60: 4 = 15 minutes.

When it comes to financial statements, fractions are rarely used. Or have you ever heard someone say: "Do you have $$ 1/10 €? $$" when they actually want to get 10 cents?

Body and fractures

You can also specify fractions of bodies. You proceed in exactly the same way as before.

Count how many equal parts the body has (denominator). Check how many parts of it are searched. For example, they can be colored.

This body is the whole.



Now parts of it are replaced by red cubes. Enter the red cubes as a fraction.


example 1


$$ 5/24 $$ are red.


Example 2


$$ 4/24 $$ are red.

There is another way to do it: Imagine the body is divided into 6 parts.


The same part is red. But you can also write $$ 1/6 $$ for it.

The body consists of 24 cubes. $$ 4 * 3 $$ cubes in one layer, of which $$ 2 $$ layers.

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