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

##### 2 Answers

#### Explanation:

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

Think of dividing something by

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

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

#### Explanation:

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.