# What is the value of? 1/3÷4

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

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

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

A fraction structure is such that we have:

Turn upside down and change the sign to multiply

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

Now split them up like this:

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The value of ( \frac{1}{3} \div 4 ) is ( \frac{1}{12} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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