Question 253081
{{{((x+3)/6)/(1+x/3)}}} Start with the given expression.



{{{(cross(6)((x+3)/cross(6)))/(1*6+(x/cross(3))*cross(6)^2)}}} Multiply EVERY term by the inner LCD 6 to clear out the inner fractions.



{{{(x+3)/(6+2x)}}} Simplify



{{{(x+3)/(2(3+x))}}} Factor the denominator.



{{{(x+3)/(2(x+3))}}} Rearrange the terms.



{{{cross((x+3))/(2cross((x+3)))}}} Cancel out the common terms.



{{{1/2}}} Simplify.



So {{{((x+3)/6)/(1+x/3)}}} simplifies to {{{1/2}}}



In other words,  {{{((x+3)/6)/(1+x/3)=1/2}}}