Question

How do I simplify `(2x)/(x+5)÷(6x^2)/(2x+10)`?

Answer 1

I found: `2/(3x)`

Explanation:

You can write it (changing the division into a multiplication) as:
`(2x)/(x+5)xx(2x+10)/(6x^2)=`
and rearranging:
`=(2x)/(6x^2)xx(2(x+5))/(x+5)=`
`=(cancel(2)cancel(x))/(cancel(6)^3x^cancel(2))xx(2cancel((x+5)))/cancel((x+5))=`
Finally:
`=2/(3x)`