# Question #27055

##### 1 Answer

A bit long but it will be worth your while reading through it

#### Explanation:

I am about to show you something that you may not thought of before so please do read through it.

Consider when you divide whole numbers, for example

There is very large set of number that are given the name 'Rational Numbers'. Remembering the name is not important but remembering the logic behind them is!

A rational number is any number that may be expressed in a special form using whole numbers. That is

The top number (numerator) is the count of what you have. The bottom number (Denominator) is an indication of the size of what you are counting. The size is how many of what you are counting it takes to make a whole of something.

To

Back to

Suppose you have two fractions, say ,

If you change them so that they both have the same number 'underneath' (denominator) you can then apply your operations just using the top numbers (Numerators). This approach

fails for multiplication. Consider:

Multiply

This is the same method that every one else uses but it just looks diverent