# How do you simplify #6 / (2/3)#?

To divide a number by a fraction, you can multiply it by the inverse of the fraction.

So, we can put this into action with our calculation:

Hope this helps; let me know if I can do anything else:)

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Using the shortcut rule of: to divide turn the divisor upside down (invert) and multiply.

We have

Applying the rule

It is perfectly correct to write 6 as

But

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Any number written as a whole number is actually a fraction: so 6 is

Now, multiply inner part with inner part and external part with external part:

When multiplied, the product of multiplication of external parts will stay as nominator, and the product of multiplication of inner parts will stay as denominator.

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Using Tarik's terminology; multiplying the inner numbers together and then the outer numbers together is the same process as inverting and then multiplying.

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To simplify ( \frac{6}{\frac{2}{3}} ), you multiply the numerator by the reciprocal of the denominator.

So, ( \frac{6}{\frac{2}{3}} = 6 \times \frac{3}{2} = 9 ).

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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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