# What is the value of? 1/3÷4

##### 3 Answers

#### Explanation:

What you do is the KCF method. Keep, Change, Flip. You would keep the

#### Explanation:

You can work it out using the usual fraction division process, or just through what is happening...

If you take one third and cut it in half ( same as dividing by

If you take

A nifty short cut: To divide a fraction in half, either halve the top (if it is even) or double the bottom:

In the same way: To divide a fraction by

This is why the 'turn upside down and multiply' works.

#### Explanation:

Write as

giving:

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A fraction structure is such that we have:

YOU CAN NOT

You have been applying this rule for years without realising it!

Consider the numbers: 1,2,3,4,5 and so on. Did you know that it mathematically correct to write them as:

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Consider the example

Turn upside down and change the sign to multiply

Note that:

Using the principle of being commutative swap the 4 and 2 round the other way giving:

Now split them up like this:

And compare to the original of

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So the

So by turning upside down' and multiplying you are applying a **conversion** and directly dividing the counts all at once.