SOLUTION: Divide and, if possible, simplify. (5x-15)/x ÷ (x-3)/(x^3)

Algebra.Com
Question 283977: Divide and, if possible, simplify.
(5x-15)/x ÷ (x-3)/(x^3)

Answer by JenniferTutors(83)   (Show Source): You can put this solution on YOUR website!
For this problem:
divided by
You cannot divide the two fractions, you have to multiply the reciprocal (flip) the 2nd equation :
multiplied by
Now you can simplify these fractions, if you notice 5x-15 can be simplified by taking a 5 out of the equation, both terms are a factor of 5:


This step is like going backwards, if that's clear.
Now your problem looks like this:
multiplied by
If you notice, you have two terms that exact, which you can cross out:
multiplied by
Next notice the x's, you can subtract one from the other:
multiplied by

After that step:
multiplied by

RELATED QUESTIONS

divide and simplify 5x-15/x divided by x-3/x^3 (answered by Fombitz,hrgvds)
Divide and, if possible, simplify. (x^2- 2x-8)/(x^2- 9) ÷... (answered by checkley77)
divide and if possible simplify... (answered by College Student)
divide, and if possible, simplify. {{{root(3,250(x^5)(y^3))/root(3,2x^3)}}} please... (answered by mbarugel)
Divide and, if possible, simplify. (4x^2)/5 ÷... (answered by JenniferTutors)
Divide and simplify if possible: ((2x+4) / (5x-20)) / ((x+2)^2 / (x-4)^2 ) I've... (answered by josgarithmetic)
divide and if possible simplify x^2+7x+10/x+5 divided by... (answered by ankor@dixie-net.com)
Divide and, if possible, simplify. x^2 + 7x + 10/x + 5 divided by x^2 - 4/5x -... (answered by jim_thompson5910)
Simplify, if possible: x^3 - 5x^2 - 4x/x^5 - 5x^2 - 4x (answered by JulietG)