What is the simplified form of (x^2-5x+6/15xy^2) / (2x^2-7x+3/5x^2y)?

Question

campbell_st · Answer

factor the quadratics, then apply the flip and multiply rule for dividing by fractions. 

so you get

$$\frac{(x -2)(x-3)}{15xy^2} \times \frac{5x^2y}{(2x -1)(x - 3)}$$

now look for common factors that can be removed.

anonymous · Answer

x-3 you can cancel

campbell_st · Answer

yes thats one... and you'll find a couple of other thinks... common factors of the denominator in the 1st fraction and numerator in the 2nd fraction

anonymous · Answer

cant you also take out a 5 an x and a y ?

campbell_st · Answer

thats it... then multiply what you have left for the solution

anonymous · Answer

x^2-2/6xy-3y?

campbell_st · Answer

not quite 

$$\frac{x(x -2)}{3y(2x - 1)}$$

then distribute, your error is in the numerator

anonymous · Answer

or just keep it simplelike x(x-2)/3y(2x-1) yeah thats what i got x^2-2/6xy-3y

anonymous · Answer

oh -2x

campbell_st · Answer

yep... thats it

anonymous · Answer

okay thanks!

anonymous · Answer

can you help me with another problem?

campbell_st · Answer

just close this and post another, there are plenty of people to help.,