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

1 Answer
Gió
Aug 9, 2015

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)#

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