Question

How do you simplify `(6-3x)/5 div(4x-8)/25`?

Answer 1

`(6-3x)/5:(4x-8)/25=-3 3/4`

Explanation:

`(6-3x)/5:(4x-8)/25=(3(2-x))/5:(4(x-2))/25=`

`=(3(2-x))/(cancel(5)^1)*(cancel(25)^5)/(4(x-2))=(15(2-x))/(4(x-2))=`

`(-15cancel((x-2))^1)/(4cancel((x-2))^1)=-15/4=-3 3/4`