## Fractions in everyday life

Fractions are used under different aspects. Some of them are already familiar to you from your daily life:

For example, you waited ** three quarters of an hour** for the bus, used a

**of milk to bake a cake or your best friend lives**

*quarter litre***away from you. It is also good to know that a can contains a**

*half a kilometre***of cola.**

*third of a litre*The tank of the car is still filled to ** a third**,

**of the way are already done or your mum complains that only**

*two thirds***of your desk is free...**

*a quarter*Fractions can also describe a **ratio** beschreiben. For instance, if a group of five is made up of 3 boys and 2 girls, then obviously there are
** three fifths** of boys and

**of girls.**

*two fifths*Fractions also describe a **part of a whole**:

Grandma made a delicious cake. This is cut into 8 equally sized pieces. Each piece then equals one eighth of the whole cake. It is written like this:

one eighth of a cake

Oliver has just returned from soccer and is very hungry. He shovels three pieces onto his plate. It is written like this:

three eighth of a cake

One week later, there is a family party and Grandma baked a lot of delicious cakes. There are 3 of Oliver's favorite cakes on the table. Of course, Oliver takes a piece of every cake:

How do you think this is expressed as a fraction?

If Grandma used the same baking pan for all 3 cakes, then Oliver ate **three eighths** of cake again.

## A fraction

numerator, denominator, fraction bar

In Maths terms you write **three eighths** this way:

First you think about the number of pieces the cake was divided into.
This number is written below the fraction bar and is called the**denominator** of the fraction.
In our example, this is the number eight. You can easily remember because this number denominates the fraction: *Eighths*.

You can also easily remember: **den**ominator → **down**.

Obviously, you can count or *numerate* Oliver's pieces of cake. This is why the number above the fraction bar is called the **numerator**.

The line in the middle is called **fraction bar**.

This is how the fraction came into being:

## Online Exercise: Naming fractions

You can practice naming fractions online:

The exercises are not difficult, so I recommend that you take a look at them. The visual representations are very important for the understanding of fractional arithmetic!

You now have a clear picture of a fraction: **Ein A piece of cake**.

If you see a fraction, try to imagine it that way. Of course, this can be difficult with large numbers - admittedly then there are more cake crumbs than pieces of cake ...

Nevertheless, it is a good trick to visualize tasks before calculating.
Often you will **see the solution easier** and make **fewer mistakes**!

Of course you can also choose another picture, for example a bag of candy or anything else you like. Give the numbers **a meaning**!

## Video: Introduction to Fractions

Finally, a funny video about: *Introduction to Fractions*: