## 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