Question

Which expression is equivalent to the following complex fraction?

Answer 1

Solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

So, Option A is correct answer.

Step-by-step explanation:

We need to solve the complex fraction: StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction

Writing in mathematical form:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$

Solving the fraction:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})\\Taking\,\,LCM\\=(\frac{-2y+5x}{xy})\div (\frac{3x-2y}{yx})\\Converting\,\,\div \,\,into\,\,multiplication\\=(\frac{-2y+5x}{xy})\times (\frac{yx}{3x-2y})\\Canceling\,\,like\,\,terms:\\=(\frac{-2y+5x}{3x-2y})$

So, solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

In words the answer will be: StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction

So, Option A is correct answer.

Keywords: Fractions

Learn more about fractions at:

• brainly.com/question/13168205
• brainly.com/question/605571
• brainly.com/question/1677114

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Answer 2

Answer:

the answer is C

please dont choose B i did that an got it wrong so dont do the same mistake

Step-by-step explanation: