# How do you find the quotient of #8/(3x^2)div4/x#?

##### 1 Answer

Jun 5, 2017

#### Answer:

There are two ways to divide a fraction:

#### Explanation:

**Method 1**

Flip the second fraction, multiply, and simplify.

#8/(3x^2) div 4/x = 8/(3x^2) xx x/4#

#= (8x)/(12x^2) = 2/(3x)#

*Final Answer*

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

**Method 2**

Divide across without flipping.

This method is not usually used, since it often results in a fraction over another fraction, which only makes things even harder to simplify. However, it is a perfectly valid method of division and, in the right cases, is much faster.

#8/(3x^2) div 4/x = (8 div 4)/(3x^2 div x) = 2/(3x)#

*Final Answer*