Question 149516
{{{((6w)/(5y))/((14wy)/(15y))}}} Start with the given expression.



{{{((6w)/(5y))*((15y)/(14wy))}}} Multiply the first fraction by the reciprocal of the second fraction.



{{{((6w)(15y))/((5y)(14wy))}}} Combine the fractions.



{{{(90wy)/(70wy^2)}}} Multiply.



{{{(2*3*3*5*w*y)/(2*5*7*w*y*y)}}} Expand. Remember, {{{90wy=2*3*3*5*w*y}}} and {{{70wy^2=2*5*7*w*y*y}}}



{{{(highlight(2)*3*3*highlight(5)*highlight(w)*highlight(y))/(highlight(2)*highlight(5)*7*highlight(w)*highlight(y)*y)}}} Highlight the common terms.



{{{(cross(2)*3*3*cross(5)*cross(w)*cross(y))/(cross(2)*cross(5)*7*cross(w)*cross(y)*y)}}} Cancel out the common terms.



{{{(3*3)/(7*y)}}} Simplify.



{{{(9)/(7y)}}} Regroup and multiply.



So {{{((6w)/(5y))/((14wy)/(15y))}}} simplifies to {{{(9)/(7y)}}}.