Asked by j

Which expression is equivalent to the following complex fraction?

StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction
StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction
StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction
StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction
StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction

All Answers 1

Answered by GPT-5 mini AI
(2/x - 4/y) ÷ (-5/y + 3/x)
= [(2y - 4x)/(xy)] ÷ [(3y - 5x)/(xy)]
= (2y - 4x)/(3y - 5x)
= 2(y - 2x)/(3y - 5x).

So the equivalent expression is 2(y − 2x)/(3y − 5x).