## Summary:

In step 1 you have learned what a fraction is and especially the meaning of the fraction bar:"divided by".

In step 2 you have learned that by calculating this division you get a number which corresponds to the value of the fraction.
So you can say that a fraction is a number. The set of all fractions forms the set of *Rational Numbers*, the set of *Natural Numbers* is contained in it.

Conversely, **every** number can also be represented as a fraction - and not only that: it can be represented as a fraction in an infinite number of ways!

In step 3 you created a toolbox to make this and the next chapter very simple! You learned to expand and to simplify fractions, as well as some other tools: prime factorization,
the greatest common divisor (GCD) and the least common multiple (LCM). Finally you got to know the tool *common denominator*.

## Page 1: Multiply a Fraction by a Whole Number

*A fraction is multiplied by a whole number by multiplying the numerator by the whole number and keeping the denominator.
The result often can be simplified / reduced.*

==> Page 1: Multiplying Fractions by Whole Numbers

## Page 2: Multiplying Fractions

*Two fractions are multiplied by multiplying the two numerators and the two denominators.
The result often can be simplified / reduced.*

==> Page 2: Multiplying Fractions

## Page 3: Dividing a Fraction by a Whole Number

*A fraction is divided by a whole number by multiplying the denominator by the whole number and keeping the numerator.
The result often can be simplified / reduced.*

==> Page 3: Dividing Fractions by Whole Numbers

## Page 4: Dividing Fractions

*Two fractions are divided by multiplying the reciprocal.*

==> Page 4: Dividing Fractions