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Dividing Fractions

```
Date: 8/4/96 at 16:1:48
From: Jeffrey Paul Goins
Subject: Dividing fractions

Dear Dr. Math,

Why do you flip the second fraction when dividing fractions (who
figured that out anyway)?

Thank you!

Levi Goins
```

```
Date: 8/5/96 at 11:29:51
From: Doctor Anthony
Subject: Re: Dividing fractions

Why when dividing fractions do you turn the second one upside down and
multiply?

Example 5/(1/2) = 5*2 = 10

By keeping the rules consistent this rule is easy to derive.

A fraction is unchanged if you multiply top and bottom by the same
number. In this case if we multiply top and bottom by 2 (which is 1/2
turned upside down) we get:

(5*2)/{(1/2)*2} = 10/1 = 10

You will notice that by multiplying top and bottom by the bottom
fraction turned upside down we are ensuring that the denominator of
the original fraction becomes equal to 1.  In practice this is
achieved by applying the rule you quoted.

-Doctor Anthony,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Fractions

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