Question

Which expression is equivalent to the following complex fraction?
2.4
2(y-2x)
3y-5x
2(y-2x)(3y-5x)
x²y²
*?y2
2(y-2x3v-5x7

Answer 1

The correct answer is Option 2: $\frac{2(y-2x)}{3y-5x}$

Step-by-step explanation:

Given fraction is:

$\frac{\frac{2}{x}-\frac{4}{y} }{\frac{-5}{y}+\frac{3}{x}}$

In order to solve, taking LCM in denominator and numerator

$=\frac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}\\=\frac{2y-4x}{xy} * \frac{xy}{-5x+3y}\\=\frac{2y-4x}{-5x+3y}\\=\frac{2(y-2x)}{3y-5x}$

Hence,

The correct answer is Option 2:  $\frac{2(y-2x)}{3y-5x}$

Keywords: Polynomials, Fractions

Learn more about fractions at:

• brainly.com/question/10941043
• brainly.com/question/10978510

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