Question 97946
{{{((2x-6)/21)/((5x-15)/12)}}} Start with the given expression



{{{((2x-6)/21)*(12/(5x-15))}}} Multiply by the reciprocal of the second fraction




{{{(2(x-3)/21)*(12/(5x-15))}}} Factor out 2 out of {{{2x-6}}} 



{{{(2(x-3)/21)*(12/5(x-3))}}} Factor out 5 out of {{{5x-15}}} 



{{{(2*cross(x-3)/21)*(12/(5*cross(x-3)))}}} Cancel out like terms



{{{(2/21)*(12/5)}}} Simplify



{{{24/105}}} Multiply the two fractions



{{{8/35}}} Simplify