Wednesday, December 10, 2014


All the following hands give the same result

More generally so do these hands

Whatever the number x is declared as


We have already seen that the solution to can be found from

How about  ? We already know that the solution is since we know 

The rules for solving gives that so we have that

This is true for any number x

What about something like  ? This comes from the solution to


When  then

When then

The solution to is 

A new name when One is divided by a number the you get the reciprocal of the number

The reciprocal of 6 is               

The reciprocal of is 6               

The reciprocal of is                

The reciprocal of is                

You form the reciprocal of a fraction by swapping over the numerator and denominator.
The product of a number and its reciprocal is always One.

In Dividing Fractions

We found that


Instead of dividing by a fraction we multiply by the reciprocal of the fraction.

Further Example

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