# How do you solve #9-3/(1/3)+1#?

##### 3 Answers

1

#### Explanation:

Consider

Write as

Turn the

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all back together

Explaining why you turn upside down (invert) and multiply when dividing fractions.

#### Explanation:

Very important facts:

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Using numbers that we should be familiar with:

Consider

Making the adjustment before the division

Now you can directly divide the top numbers (numerators)

................................................................

Just for interest lets look at the shortcut method applied to

Turn the

Using the principle that

Write

In this case the adjustment factor is 1 as both of the denominators are the same.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Explaining why you turn upside down (invert) and multiply when dividing fractions.

#### Explanation:

Lets look at the shortcut method where the denominators (size indicators) are not the same.

Consider the example:

It is known that there are

Applying the rule 'turn upside down and multiply' we have:

Grouping the denominators and numerators we have:

So now we have the structure:

This is:

Hope this helps.