Question

Divide. (5a^3x/3x^5)/(a^2/9x) Simplify your answer as much as possible!

Answer 1

Answer:

The simplified expression is  $\frac{15a}{x^3}$

Step-by-step explanation:

The given expression is

$\frac{\frac{5a^3x}{3x^5} }{\frac{a^2}{9x}}$

We change the middle bar to a normal division sign to obtain,

$=\frac{5a^3x}{3x^5}\div \frac{a^2}{9x}$

We multiply by the reciprocal of the second fraction to obtain,

$=\frac{5a^3x}{3x^5}\times \frac{9x}{a^2}$

We cancel out common factors to get,

$=\frac{5a}{x^3}\times \frac{3}{1}$

This simplifies to,

$=\frac{15a}{x^3}$