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

Jun 5, 2017

$\frac{2}{3 x}$

There are two ways to divide a fraction:

#### Explanation:

Method 1

Flip the second fraction, multiply, and simplify.

$\frac{8}{3 {x}^{2}} \div \frac{4}{x} = \frac{8}{3 {x}^{2}} \times \frac{x}{4}$

$= \frac{8 x}{12 {x}^{2}} = \frac{2}{3 x}$

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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.

$\frac{8}{3 {x}^{2}} \div \frac{4}{x} = \frac{8 \div 4}{3 {x}^{2} \div x} = \frac{2}{3 x}$