Question

How do you multiply `2/(25x^2)*(5x)/12div2/(15x)`?

Answer 1

`2/(25x^2)*(5x)/12color(red)(div2/(15x))" "larr div` changes to multiply

`=cancel2/(cancel25^5x^2)xx(cancel5x)/cancel12^4 color(red)(xx(cancel15^5x)/cancel2)" "larr` cancel numbers, using 2,3,5

`=(cancel5xx cancel(x^2))/(cancel5xx4xx cancel(x^2))" "larr`multiply variables and simplify

`=1/4`