Question 178955
{{{(12/(x-1))/((6/x))}}}
:
we need to invert the bottom fraction and multiply
:
{{{(12/(x-1))*(x/6)}}}={{{2cross(12)x/cross(6)(x-1)=2x/(x-1)}}}
:
{{{((3/x)+(3/y))/((3/x)-(3/y))}}}
:
find common denominators for numerator and denominator
:
{{{((3y+3x)/xy)/((3y-3x)/xy)}}}
:
now invert bottom fraction and multiply
:
{{{((3y+3x)/cross(xy))*(cross(xy)/(3y-3x))}}}
:
{{{cross(3)(y+x)/cross(3)(y-x)}}}
:
{{{highlight((y+x)/(y-x))}}}
:
{{{((2/s)-(3/t))/((2t+3s)(2t-3s)/st)}}}
:
find common denominator in top fraction
:
{{{((2t-3s)/st)/((2t+3s)(2t-3s)/st)}}}
:
now invert bottom fraction and multiply
:
{{{(cross((2t-3s))/cross(st))*(cross(st)/(2t+3s)cross((2t-3s)))}}}
:
{{{highlight(1/(2t+3s))}}}