Question

Which expression is equivalent to the following complex fraction?

Answer 1

Answer:

A. -2y+5x/3x-2y

Step-by-step explanation:

Given the complex fraction;

$-\frac{2}{x} +\frac{5}{y} / \frac{3}{y} - \frac{2}{x}$

First we will find the LCM of the numerator and the denominator as shown below;

$\frac{-2y+5x}{xy} /\frac{3x-2y}{xy}$

Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;

$= \frac{-2y+5x}{xy} * \frac{xy}{3x-2y} \\= \frac{-2y+5x}{3x-2y}$

This gives the required answer