Question

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

Answer 1

The simplified expression is
`(15a)/(x^3)`

Explanation:

The given expression is

`((5a^3x)/(3x^5) )/((a^2)/(9x))`

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

`=(5a^3x)/(3x^5)/ (a^2)/(9x)`

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

`=(5a^3x)/(3x^5)* (9x)/(a^2)`

We cancel out common factors to get,

`=(5a)/(x^3)* (3)/(1)`

This simplifies to,

`=(15a)/(x^3)`