## Summary:

Before we get into the art of calculating with fractions, it is - as always - first you have to master the basics!

You should at least read and understand this short summary. Nevertheless, I also recommend to read the topic pages:

- they are
**entertaining**and - deepen your
**understanding**.

You will have it easier later!

## Page 1: A fraction - numerator, denominator, fraction bar

A **fraction** has a numerator, denominator and a fraction bar.

That's good to know, but to understand the meaning I'll show you a picture that you can refer to again and again: Read on page 1 what is a fraction.

## Page 2, 3 and 4: Mixed Numbers

If you place a whole number in front of a fraction, you get a **mixed number**.

A popular exercise is the **conversion** of mixed number into an improper fraction and vice versa.

I will teach you this magic trick:

Page 2: Mixed Numbers

Page 3: Mixed Numbers to Improper Fractions

Page 4: Improper Fractions to Mixed Numbers

## Page 5: Reciprocal of a Fraction

You get the reciprocal of a fraction by turning it upside down. The numerator becomes the denominator and the denominator becomes the numerator.

## Seite 6: Fraction Bar

To understand fractions and its arithmetics, it's __ absolutely important__ to know:

The fraction bar means **"divide by"** !!!